Evaluate the following limit. Use l'Hôpital's Rule when it is conve lim X- 元 tan x 18 2x-x lim X- tan x 18 2x-x =(Type an exact answer.)

Q: Evaluate lim sin x.

A: Given: limx→∞sin x

Q: Evaluate the following limits. If needed, enter inf for and -inf for -0. lim (-33x² +21x³) = A/ 818…

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Q: 4. Given the graph of the function f below, evaluate lim f(x).

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Q: Consider the piece -wise function h): = (x)4 x²-2x +3 for x 2 Find lim hx) Find is h«) Contiouous?…

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Q: Use l’Hospital’s rule where applicable to find each limit.

A: Given, limx→02e5x-25x2-10-25x3 Using L' Hospital’s rule , we have to find limits of this function.…

Q: 5. Evaluate the following limits, explaining your reasoning: sin x – x (a) lim (b) lim (1+ x)/= I 00

A: Given the limit function

Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: lim M =: X-0 x

A:

Q: lim x ln x +0+2

A: limx→0+xlnx

Q: tan x B:: Find limx-0

A: Limit of the function

Q: Find the limits

A:

Q: Find the lim tan ( X-0

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Q: What is lim x-->2 f(x)

A: Here we will see the graph and answer as per that....

Q: lim F(x),

A:

Q: 3. The notation lim f(x) is read

A: The notation limx→4f(x) is read, The limit of f(x) as x approaches 4.

Q: If f is a function such that f(2)=4,can you conclude anything about lim as x tends to 2 for the…

A: The objective of the question is to understand if we can conclude anything about the limit of a…

Q: neither lim f(x) nc

A: For the limit  fx and gx , take the condition . For function fx, fx=2 if x≥00 if x<0 The limit…