Use L'Hospital's Rule to find the limit. State why we can use this rule. lim_(x-1) (x - 1)^3 log(x - 1) = 0

Name: Finding Limit with steps by steps solution
Uploaded: 2022-02-04T20:40:01+00:00
Description: Answer by Sadia S. to Use L'Hospital's Rule to find the limit. State why we can use this rule. lim_(x->1) (x - 1)^3 log(x - 1) = 0

Question

Use L'Hospital's Rule to find the limit. State why we can use this rule.  lim_(x->1) (x - 1)^3 log(x - 1) = 0

Yefim S. · Accepted Answer

lim x→1+(x- 1)3log(x - 1) = lim x→1+log(x -1)/(x - 1)-3 = lim x→1+(ln10/(x - 1))/(-3(x - 1)-4 = lim x→1+ln10/(-3)(x - 1)3 = 0

Sadia S. · Answer

Use L'Hospital's Rule to find the limit. State why we can use this rule. lim_(x->1) (x - 1)^3 log(x - 1) = 0

2 Answers By Expert Tutors

Still looking for help? Get the right answer, fast.

OR

RELATED TOPICS

RELATED QUESTIONS

CAN I SUBMIT A MATH EQUATION I'M HAVING PROBLEMS WITH?

If i have rational function and it has a numerator that can be factored and the denominator is already factored out would I simplify by factoring the numerator?

how do i find where a function is discontinuous if the bottom part of the function has been factored out?

find the limit as it approaches -3 in the equation (6x+9)/x^4+6x^3+9x^2

prove addition form for coshx

RECOMMENDED TUTORS

IXL

Rosetta Stone

Education.com

TPT

Vocabulary.com

ABCya

SpanishDictionary.com

Inglés.com

Emmersion