Find each of the following limits. Since you use L'Hopitals Rule, explain why you use it lim 2?e z--00 1- cos(2x) lim

Q: Find lim Itcos 2X メ 니(x- 폰) 2

A:

Q: Find the indicated limits, noting L'Hôpital's Rule wherever it is used. lim (1-ª)* (constant a)

A:

Q: Evaluate lim sin x.

A: Given: limx→∞sin x

Q: lim2

A: Explained below

Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

A:

Q: find lim ( Sx²+ax-Jxb% 2. Xつや

A: Solution  limx→∞Axn=0 , where A is constant and n&gt;0

Q: Find the limits sin (sinx) lim

A: limx→0sinsinxx

Q: tan x B:: Find limx-0

A: Limit of the function

Q: (Inx)? lim

A:

Q: Evaluate lim (tan-(t),e-2t,m²). t-1

A: We want to find given integral.

Q: Q:B/ Find lim, [tan x-sec x].

A:

Q: find lim Cos(는)

A:

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: 4. Find: b) lime X0 x sinx

A: Find the limit by using L'  Hospital rule

Q: lim

A:

Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

A: Need to write down the method to determine that l hospital is applicable or not.

Q: Find lim 1-CoS 3X Xう。 tan x -1 lim メー X - X->

A: Solution is given below..

Q: Use l'Hospital's rule to find the limit. You must show the indeterminate form, etc. All details for…

A:

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: Find lim x+x:

A:

Q: Evaluate the limits:  limx->pi/2(cos x/(pi/2-x))

A: We have to evaluate the limit: limx→π2cosxπ2-x We know that sinπ2-x=cosxlimx→0sinxx=1

Q: Find the limit. Use l'Hospital's Rule where appropriate. It may be necessary to apply it more than…

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Q: If lim x) - 2 x-1 x - 1 DNE lim f(x). = 7, evaluate

A: