# 14 Use image as refernce Find lim Le sin x] if the limit exists, where [-] denotes the greatest integer function. See page 101 of the textbook. If the limit does not exist, enter 100.x-+∞Answer:

Answered: Image /qna-images/answer/f1cb848c-44a3-4b26-8912-2dab9ac5f612.jpg

Answered: Find lim Le sin x] if the limit exists,…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.5: Polynomial And Rational Functions

Problem 41E

See similar textbooks

Similar questions

What does it mean to say that f(4) is a local maximum valueof f ?
Find limit x by drawing only
Find the following limit or state that it does not exist. Assume b is a fixed real number. ((x-b)^(20)-2x+2b)/(x-b)
Please show how you found the limit
Evaluate the limit 5 + 2x lim 2 3x
Construct a table to determine the lim ex-1/x. x --> 0
Use one-sided limits to determine whether the following limit exists and its value. If the limit does not exist, enter NA in the final answer area. lim +6 z5 x-5 Enter the exact answers for the one-sided limits. To enter oo in your answer field, • When you are in text entry mode (when your answer field has just one line), type the word infinity with a lower case i. • When you are in equation editor entry mode (when your answer field has multiple lines with the equation symbol menu bar), choose the symbol oo to enter oo. You can switch entry modes by clicking on the button with the upper case Greek letter E next to the answer field. a+6 I-5 lim
Use one-sided limits to determine whether the following limit exists and its value. If the limit does not exist, enter NA in the final answer area. lim +2 Enter the exact answers for the one-sided limits. To enter o in your answer field, • When you are in text entry mode (when your answer field has just one line), type the word infinity with a lower case i. • When you are in equation editor entry mode (when your answer field has multiple lines with the equation symbol menu bar), choose the symbol oo to enter 0. You can switch entry modes by clicking on the button with the upper case Greek letter E next to the answer field. a+2 X-1 lim lim x+2 lim +2
Notice that when h = 0, the denominator of lim h→0 Recall that if the numerator is also zero when h = 0, the limit has the indeterminate form and h is a common factor of the numerator and denominator. Thus, lim h→0 2(x + h)² - 2x² h To determine if the numerator is zero when h = 0, replace h with 0 in the numerator of the limit and simplify. 2(x + h)² - 2x² = 2(x + 0)² – 2x² 2(x + h)² - 2x² h is zero. ---Select--- 0 the indeterminate form (-) at h = 0 and h ---Select-- a common factor of the numerator and denominator. 0
Evaluate the following limits. If needed, enter INF for oo and MINF for -oo. (a) -)= x 5x1- x lim (b) -i-r)= /x2 5x1- x lim _
Compute the limits that exist. lim x---5, 2x - 10/x2 - 25
The limit, lim h→0 2(x + h)² - 2x² h lim h→0 2(x +h)² - 2x² h To find this limit, the FOIL method can be used to expand the expression in the numerator. Then, simplify the numerator; distribute to remove the parentheses and combine like terms. = = = lim h→0 lim h→0 7 lim h→0 has the indeterminate form 2(x2 + 2x² + 4xh + h h 0 at h = 0 and h is a common factor of the numerator and denominator. 0 h h²) - : 2x² xh xh + 2h² - 2x² We cannot let h→0 until the factor h is removed from the denominator. Notice that the two remaining terms in the numerator of the result have a common factor of h.

SEE MORE QUESTIONS

Recommended textbooks for you

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Find lim Le sin x] if the limit exists, where [-] denotes the greatest integer function. See page 101 of the textbook. If the limit does not exist, enter 100. x4+x Answer: