How many times must l'hôpital's rule be applied to evaluate ex - e-X – 2x lim X + 0 X- sinx

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

A:

Q: f(x) =4x^3 -24x^2 -60x a. find all values of x that correspond to horizontal tangent lines. b.…

A: GIVEN FUNCTION  IS f(x)=4x3-24x2-60x   Now first order derivative be f'(x)=12x2-48x-60=0 Solution a:…

Q: limx--->0+(1/x8-1/x4). Use l'Hôpital's Rule if appropriate.

A:

Q: Rearrange lim x* so that we can apply L'hopital's rule. *→0+

A: Follow the steps.

Q: tan(3x) lim x→0 2x2 + 4x

A:

Q: The average typing speed S (in words per minute) of a typing student after t weeks of lessons is…

A:

Q: 4 - VE lim x>16 16x – x?

A: Given: limx→164-x16x-x2

Q: If a function where limx→1+f(x)=3 and limx→1−f(x)=3, thenf(1)=3   true or false, if false make a…

A:

Q: If lim f(x)/x^2=-2 find lim f(x) and lim f(x)/x

A:

Q: find the lim as x approaches infinity where

A:

Q: f (x) =  x^2 +2         x3         1. At what value is this function discontinuous, if any?…

A: Given function, f(x)=x2+2,     x<310     ,      x=3-3+4x,   x>3

Q: Given f(x) = 2x^2 + x -15 all divided by x+3 find lim x -> -3^f(x) algebraically is f(x) continous…

A:

Q: is the below true and false and why? f'(x)=Limx->h (f(x+h)-f(x)

A: Given,  f'(x)=limx→hf(x+h)-f(x)

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

Q: give f(x) ={x^2-4x +6 if x 3} limt x-->3^- f(x)=? limx-->3 f(x)=? limx-->3^+ f(x)=? please…

A:

Q: solve using L'Hopital's Rule 7. Lim    1/(tan-1)2  -  1/x2    x->0

A: Given the limit as : limx→0 1tan-12-1x2 We need to find the limit by using L' Hopital's Rule. Let's…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (5t − 1)³ -…

A: The function is ft=5t-13. The objective is to find the Laplace transform of given function. Concept…

Q: Suppose that lim as x approaches infinity of f(x) + x^2 = L for some number L. Then lim as x…

A: