Suppose that lim as x approaches infinity of f(x) + x^2 = L for some number L. Then lim as x approaches infinity of f(x)/1+x-x^2 is?

Q: compute lim as x goes to pi/2 from the right of (x-pi/2)tan(x)

A: Given f(x)=x-π2 tanx To find limx→π2+f(x)=limx→π2+x-π2 tanx

Q: 2. Construct a table of values to investigate 1 if x -1

A:

Q: Estimate the one-sided limits for the function below.  f(x)=(11−x)/(x−8)^2   lim f(x)= x-->8+…

A: Given function is

Q: Determine the infinite limit. x + 2 lim x--3+ x + 3

A: We have to determine infinite limit: limx→-3+x+2x+3 We know that finiteinfinite=0finite0=infinite

Q: Evaluate the limit. limx→ 0+ tan-1(1/x)

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Q: SOLVE BY LIMIT DEFINITION 3x+1 2-x a) limx-2+1 limx→

A: Solution

Q: x* +x + 2x+2 lim x-1 x+1

A:

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: Given: limx→2x-2ln3x-5 Here we get an indeterminate form, Therefore by using the L-Hospital rule,…

Q: Find the limit if it exists: lim x->0       (sin(3x)) / (x(3x2 - 5))

A:

Q: 4. Show that In x lim x→1 x – 1 1. (Hint: Note that In In x-ln 1 x-1 and interpret the limit as a…

A: Given: To prove that limx→1 ln xx-1=1 using the limit as a derivativeFormula:…

Q: If lim f(x)=-2 x-->0+, lim f(x)=3 x-->0-, and f(0)=-2, what can you say about lim f(x) x-->0?

A:

Q: Find the limit, if it exists.

A: Consider the given: limx→∞ x21−8x2Divide numerator and denomintor by "x2",limx→∞ x21−8x2=limx→∞…

Q: show that : Limx→0    1/ (x – 1) + 1/( x + 1)  ) /x = −2

A: apply the concept of limit to prove the given problem.

Q: Use a tble of functional values to evaluate: lim 12 z-2

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Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A:

Q: Evaluate the limit: 2x +10 lim x-5 x +2x -15 lim as x -> -5 of |2x + 10|| divided by x ^ 2 + 2x – 15…

A: Evaluate the limit

Q: Find the limit. lim (5x + 4x + 3) X--3

A:

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: We have to evaluate the following limit: limx→2x-2ln3x-5 The above limit is in 00 form. Therefore we…

Q: Suppose neither limx→0 f(x) nor limx→0 g(x) exists. Show that limx→0 [f(x)g(x)] may exist.

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Q: Find the limit using direct substitution. lim                      3x+1/2-x x-->-2

A: In the direct substitution method, straight way substitute the limiting vailue of x in the given…

Q: Use a tble of functional values to evaluate: lim 2²–1| x-1

A: Given, We will calculate the value at some points and then will calculate the limit of given…

Q: what is lim of x approaches -8 from the left of 7x+56/abolute value of x+8

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Q: Estimate the limit numerically. 3x² +270x+5 lim 2x+15 + oo

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Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

A: The limit of the given function

Q: Find the limit as x -> (+) or (-) oo (Infinity) using L'Hoptials Rule for: Lim as x->oo of (9x +4)…

A:

Q: Estimate the limit numerically. x+14x + 49 lim x+7

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Q: 2. If it exists, find lim f(x) where X--1 x =-1 f(x) = { *x– 1)³, x+-1 4, If the limit does not…

A:

Q: Evaluate the limit lim sin (). x-4 lim sin-() = %3D x→4

A: Evaluate the limts

Q: Find the Limit: 1. lim (2x + 5) x--7 3. lim(-x + 5x 2) 5. lim 8(t - 5)(t - 7)

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Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: limx→23x−95x−25 Since we have an indeterminate form of type 00 Apply the L' Hospital's rule:…

Q: Evaluate the limit numerically. x + 4 lim x--5- x + 5

A:

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Find the limit, if it exists. 4x2 lim x--0 x+ 1

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Q: Numerically determine the limit 8+x3 limx--2 2+x

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Q: Evaluate exactly lim (1 + sinx)²cotx x→0

A: This question is indeterminate form of 1infinity and solved using L Hospital rule.

Q: 28. Use the limit definition, lim 7 (x+h)- f(x) to determine the derivative of x-1. [Value of 4] h0

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Q: Estimate the limit numerically  limx→4 √x−4/x−16=

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Q: Find limx approaching infinity (x+2/x-1)^x

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Q: Find the limit by using l'Hôpital's Rule. ( limx-14³-x-3

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Q: Lim of √x, as x approaches to 4. Prove using epsilon delta deffinition

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Q: Evaluate the limit 6| lim x→6 x - 6. If the limit does not exist enter DNE. Limit =

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Q: Find the limit or show that it doesn't exist. 1-х-х2 a) limx→-o 2х2-7 V1+4x6 b) limx 2-х3

A:

Q: find the limit limx -> 3 of [root(x+6) -x] / (x^3 - 3x^2)

A: To determine the limit of given function.

Q: If lim f(x) = - infinity x-->-1+ and lim f(x)=-infinity x-->-1-, what can you say about lim f(x)…

A: answer

Q: Lim (sinx)* -0+

A: Given query is to find the limit of the expression.

Q: Evaluate the limit. In x lim x -1 sin 8TX

A:

Q: Estimate the limit numerically  limx→4 x^2−2x−8/x^2−3x−4=

A: We have to find limit

Q: Find the limits limx→0+x tan (π/2 - x)

A: Given that, f(x)=x tan (π/2 - x) We have to find, limx→0+xtanπ2-x

Q: Use continuity to evaluate the limit. lim XV13 - x2 X-2

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Q: 3-Vx2+9 Without using L'Hopital's rule, find: lim-

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.