l'Hospital's Rule

Welcome to Questions LLC, where knowledge meets curiosity! If you're here in our "l'Hospital's Rule" category, you're about to delve into the fascinating world of calculus. L'Hospital's Rule is a powerful tool used to solve limits involving indeterminate forms, providing insights into the behavior of functions and enabling us to tackle complex mathematical problems. Whether you are a student seeking a deeper understanding of this rule or a math enthusiast wanting to explore its applications, you've come to the right place! Navigate through our collection of questions to quench your curiosity and expand your mathematical prowess through the lens of l'Hospital's Rule.

Questions (9)

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it.lim x → 0 (x
1. 2 answers
2. asked by john
3. 1,035 views
lim (2^x-3^x)/(cos(x)-1)x->0 The answer the book has for this is "diverges." I know I'm supposed to use L'Hospitals' rule, but
1. 1 answer
2. asked by Jamie
3. 333 views
How do we find the value of a without using L'hospitals rule?lim x-->0 [(1+ax) - (1+x)^(1/2)]/(x^2) } =(1/8)
1. 1 answer
2. asked by Aanya
3. 331 views
Use L'Hospital's Rule to solve:lim u --> 1 of (u-1)^3/ ((1/u) - u^2 + (3/u) - 3) Ok, so what I thought was that it is type 0/0
1. 3 answers
2. asked by Mary
3. 349 views
explain fully what trick you must use in order to us L'Hospital's rule for indeterminate powers?
1. 1 answer
2. asked by Kim
3. 341 views
L'Hospital's RuleLim(lnx)^(x-1) x->1+ This is what I did so far... Form: 0^0 ln(lnx)/ (1/x-1)
1. 4 answers
2. asked by Anonymous
3. 835 views
Below are the 5 problems which I had trouble in. I can't seem to get the answer in the back of the book. Thanks for the help!lim
1. 15 answers
2. asked by Anonymous
3. 605 views
Find the lim x→∞ of (ln(x))^2)/x using L'hospital's rule.I got - infinity when I did this, but I think I was looking at the
1. 2 answers
2. asked by Callie
3. 480 views
Use l'Hospital's Rule to evaluate ((te^7t)/7)-((e^7t)/49)?
1. 4 answers
2. asked by Anonymous
3. 427 views