Question

Compute the following limits using l'H\^opital's rule if appropriate. Use INF to denote ∞ and MINF...

Compute the following limits using l'H\^opital's rule if appropriate. Use INF to denote ∞ and MINF to denote −∞

. limx→0:( 1−cos(2x))/(1−cos(3x) )=

limx→1: (4^x−3^x−1)/(x^2−1 )=

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Evaluate each limit. Use l' Hospital's Rule if appropriate. a) limx→−3 81−x^4/9x+27 b) limx→0 e^3x −1−3x/x^2...
Evaluate each limit. Use l' Hospital's Rule if appropriate. a) limx→−3 81−x^4/9x+27 b) limx→0 e^3x −1−3x/x^2 c) limx→0+ xlnx
6)Determine the following limits, using ∞ or −∞ when appropriate, or state that they do not...
6)Determine the following limits, using ∞ or −∞ when appropriate, or state that they do not exist. (1) lim x->4+  4/x-4 (2) lim x->4- 4/x-4 (3) lim x-> 4/x-4 7)Evaluate limx→∞ f(x) and limx→−∞ f(x) for the following function. Use ∞ or −∞ when appropriate. Then give the horizontal asymptote(s) of f (if any). f(x)= x3+8/4x3+sqrt 64x6+4
please show all work Evaluate each of the following limits, for after lim the part with...
please show all work Evaluate each of the following limits, for after lim the part with x-> and then a number is below the lim and then after is the fraction part 1) lim x->3 (x^2-2x-3/x^2-5x+6) 2) limx->2 (x-2/square root(2x)-2) 3) lim x->inf (3x^5-7x^3/-5x^5+x^3-9)
Compute the following limit using l'Hospital's rule if appropriate. limx→∞ x5e-x^2 (reads x to the 5th...
Compute the following limit using l'Hospital's rule if appropriate. limx→∞ x5e-x^2 (reads x to the 5th e raised to the negative x squared) lim x→0+ x5sin(x) lim x→0+ 6sin(x)ln(x)
1. Find the area of the shaded region. 2. Find the limit. Use l'Hospital's Rule where...
1. Find the area of the shaded region. 2. Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x → 0 1 + 10x − 1 − 3x x 3. Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→1 1 − x + ln(x) 1 + cos(9πx) 4. Find the limit. Use l'Hospital's Rule if appropriate. If there is...
3. Use the definition of a limit (Definition 3.1.1) to show the following: (a) limx→2 (x...
3. Use the definition of a limit (Definition 3.1.1) to show the following: (a) limx→2 (x 2 + 2x − 5) = 3 (b) limx→1 (x 3 + 2x + 1) = 4 (c) limx→0 (x 3 sin(e x 2 )) = 0
1. Evaluate the limit using L'Hospital's rule if necessary lim x→∞ (1+ 12 / x)^x/1 2....
1. Evaluate the limit using L'Hospital's rule if necessary lim x→∞ (1+ 12 / x)^x/1 2. In which limits below can we use L'Hospital's Rule? lim x→π/5 sin(5x) /5x−π lim x→−∞ e^−x / x lim x→0 2x/ cotx lim x→0 sin(3x) / 3x I Need help with both questions please! thank you so much.
Evaluate each of the following limits. a) limx→∞(x/x − 2)^x b) limx→0 sin x cos x/x...
Evaluate each of the following limits. a) limx→∞(x/x − 2)^x b) limx→0 sin x cos x/x + tan x
Use the Maclaurin series for cos(?) , ????(?), and ?? to evaluate the following limits: a....
Use the Maclaurin series for cos(?) , ????(?), and ?? to evaluate the following limits: a. lim ?→0 −? − 1+?x / 5? 2 . b. lim ?→0 ? − ???? / ?3 ????
Finding Limits: Use L’Hopital’s rule to evaluate the limit . SHOW WORK . 8. lim┬(x→-1)⁡〖(x-8x^2)/(12x^2+5x)〗 9....
Finding Limits: Use L’Hopital’s rule to evaluate the limit . SHOW WORK . 8. lim┬(x→-1)⁡〖(x-8x^2)/(12x^2+5x)〗 9. lim┬(x→0)⁡〖sin5x/(2x^2 )〗