C)Use LHospital's rule to evaluate only two of the following limits (if exist): 5⁰-6 lim (ii) lim (1+sin(x))) li X

Q: Show thatamat-1000 using the ed definition.. - lim 2-3 E - 1 3

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Q: Find the value of the limit lim SINX X 0 2x 02x (a) 0 (b) 1 (c) 1/3 (d) 1/2 (e) 1/4

A: Here we have to find the limit of the function. In the first step use the property of the limit:

Q: If f(x+y)=f(x)+f(y) for all x , y e R and E(tanx) _ 2f (sinx) f (1) =1,then evaluate lim x’f(sinx)…

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Q: Find the third derivative of y = (6x - 1). Show your %3D in negative exponent.

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Q: If lim f(x) = = co then f (x) XCOS cos² X00

A: Given- If limx→∞fx=∞ then fx=xcos1x To Prove- The above expression.

Q: 2. Given the graph of the function f shown below, determine which of the following statements is…

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Q: . Use the Squeeze Theorem to determine the value of limx sin

A: To evaluate the given limit limx→0x4sinπx by using the Squeeze theorem. Now, the Squeeze thorem…

Q: (sin x' 2) lim

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Q: True or false: lim(sin) as x goes to infinity exists.

A: Given, limx→∞sinx Find in the following that this limit is exist or not.

Q: lim x30 VI+x 1+% ㅈ _/

A: L=limx→01+x−1x

Q: x-Arcsinx lim x3 1 lim X0 sin?x 1 x2

A: (a). We have to find:   limx→0 x-sin-1(x)x3

Q: 5. Use L'H rule to find (a). lim Inz2 (b). lim (sin x)(In x).

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Q: 2) lim 1-cos (2 arc sinx) In(a+x2) calaulate the limit.

A: Solve the limit limx→01-cos2arcsinx1n1+x2

Q: Use L'Hopital's rule to evaluate lim(1 – 2 sinh(x)) sch(a).

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Q: Find the limits

A: It is given that, limx→01+x+sinx3cosx.

Q: Could the limit as xà1 of f(x)=(x+sinx)/(1+x+cosx) be found simply by substituting 1 into the…

A: Given function f(x)=(x+ sin (x))/(1+x+ cos (x)) Now we will evaluate limit of f(X) as X tends to 1…

Q: Use l’Hôpital’s rule to find the limits

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Q: Let s(x)=sin(x)/x. Explain why it is true that Lim (X-> 2pi) s(x)=0

A: Let  sx=sinxx Explain why it is true that limx→2πsx=0