evaluate limit as a approaches infinity (3a^4+4b^3+a^4b^4)/(a^4b^2+17a^2b^4)

Q: evaluate the limit using continuity. lim (х,у)-- (2, —1) (xy – 3x²y³)

A: Given: limx,y→2,-1  xy-3x2y3

Q: Find the limits in Exercise

A: Given: limx→0-52x

Q: 6x-18 メ→3 3x²-27 メの

A:

Q: 3x² – 9x + 11 lim 7x5 + 2x3 + 4 4.

A: Consider the expression, limx→∞3x2-9x+117x5+2x3+4 Find the limit of the expression. Using this…

Q: Find the limit. (1-)- lim

A: To find the following limit

Q: Evaluate the limit for the graph: lim Ax). 4 2 -4 -2 이 4 -2 -4 2.

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). If it does not exist, explain why.

A: Given

Q: Find the limit limx→π/2tanxtan3x.

A:

Q: Show with the epsilon delta definition that the limit when x --> 4 of (x^3-8x^2+16x+4) = 4

A: we have to show with the epsilon delta definition that the limit when x→4 of x3-8x2+16x+4=4 as we…

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

A: limx→afxgx=limx→afxlimx→agx,   limx→agx≠0

Q: find its limit.

A:

Q: Find the limits in Exercise

A: we have to calculate the given limits. limx→8+2xx+8

Q: Compute limit as x goes to infinity of (square root(2x^2+3x-1))/(7x+1)

A: =limx→∞2x2+3x-17x+1multiply and divide by x2=limx→∞2+3x-1x27x+1x2=2+3∞-1∞7∞+1∞=∞

Q: Find the limits in Exercise

A: limx→-2xx+12x+5x2+x

Q: Find the limit if it exists. Lim -2 (3x° + 2xª – x² + 7x – - 3)

A: For the following limit,

Q: find limit x-->2 (-x2 + 5x - 2)

A:

Q: Compute the limits that exist. lim x---2 x/x - 2

A: Explanation: Given that,  limx→2xx-2     Concept Used: If LHL=RHLLim exist.If LHL≠RHLLim doesn't…

Q: Compute the limits that exist. lim x---8, x2 + 64/x - 8

A: The limit of a function limx→Xf(x)=Y means that value of  function fx can be as close to Y by making…

Q: Compute the limits that exist. lim x---5, 2x - 10/x2 - 25

A: Given: Compute the limits that exist. limx→5 2x-10x2-25

Q: Investigate the limit

A: The limit of the function is, limx,y→0,0x2x2+3xy+y2 As x,y→0,0 we see that the given limit is of the…

Q: Determine the infinite limit limx→2− x^2 − 2x/ x^2 − 4x + 4

A:

Q: Find the limit. If the limit does not exist 6x +23x - 4 lim X-4" X + 4x

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: What is the limit of x/-x+7 as x--> -7?

A:

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: Compute the limits that exist. lim x---3 2x2 + 16

A: Given: limx→32x2+16 Substitute 3 for x and determine the limit limx→3(2x2+16)=2(3)2+16

Q: Evaluate the limit 6x3 6x2 – 5x |- lim 7 3x 6x3 - -

A: Evaluate the limit in the following way:-

Q: evaluate the limit using continuity. 2x2 lim (х. у) -> (-2,1) 4х + у

A: Given

Q: 2sin()-1 limx¬1- X-1

A: The given limit is limx→1-2sinπx3-1x-1

Q: Evaluate the limit limx→∞ √3+11x^2/3+10x

A: Given, limx→∞3+11x23 + 10x Divide the numerator and the dinominator with x, limx→∞3x+11x23x + 10x…

Q: Evaluate the limit 11x3 3x2 – 11x - lim 10 – 4x – 3x³ - -

A:

Q: Explain how to convert a limit of the form 0 * ∞ to a limit of theform 0/0 or ∞ / ∞.

A: we have to convert a limit of the form 0 * ∞ to a limit of the form 0/0 or ∞ / ∞

Q: Find the limit by rewriting the fraction first. ху - 2у - 3х + 6 x- 2 lim (х,у)-(2,6) x+2 ху - 2у -…

A:

Q: Find the limit limx→1x20−1x10−1.

A: Given:

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

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

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

Q: Find the limit limx→∞(1+1x)3x.

A: we have to find the limit : limx→∞(1+x)(3x)

Q: Compute the limits that exist. lim x----5 2x2 - 5x - 36/8 - 3x

A: To compute the limit: limx→52x2-5x-368-3x Solution: Evaluating the limit.…

Q: Find the limit if it exist

A: Divide the numerator and denominator by x

Q: Compute the limits that exist. lim x---8, 15x - 4 - 1/3x2 + 2

A: We need to compute the limits that exist. lim x---8, 15x - 4 - 1/3x2 + 2

Q: Evaluate the limit: V6z + 49-7 lim

A: We can solve the problem by L'Hospital's Rule.

Q: Find the limit of the equation.

A: Given limit

Q: Find the limit. 28x-7x lim x4 x→4 2-x 2. 28x- 7x lim 日 x→4 2- Vx (Type an integer or a simplified…

A: The solution are next step..

Q: Find the limit. lim 5+ T6-exth) -5-16-x

A:

Q: х2-2х-3 d) lim lim-3 х2-5х+6

A:

Q: limit as x approaches infinity of (-1)x+1

A: Apply the limit.

Q: find the limit of  limitx-> -6- 1/(x+6)

A:

Q: Use the ɛ - ô definition of limit to prove that lim X4 2 --5 =-3

A: