The limit lim x · In cos エ→0 is an indeterminate form of type 0 ·o. Select one: O True O False

Q: 3. Let f(2) = if z + 2i, while f(2i) = 3+4i, is f(2) continuous at z = 2i? 2- 2i 4. Evaluate lim (az…

A: 3)Given:

Q: 3. Evaluate lim, tan (2 x) if it exists. Provide evidence to back up your answer.

A:

Q: 1 o. = 0. Show that lim x² sin -| *

A: Use the property that -1≤siny≤1. Take y=1x, then -1≤sin1x≤1

Q: Find the 2x -3 lim 4x +1 DNE O 1/2 2. What is the

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Q: Use the graph of the function f shown here to evaluate the following expressions. ĭ -3-2 YA 5 8

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Q: 2 2. Express the limit lim E(-1+4): as a definite integral. DO NOT Evaluate it. i=1

A: The given limit is: limn→∞∑i=1n-1+2in2n To express the given limit as a definite integral.

Q: x+sinx 2. limx00 x+cosx

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Q: Suppose that z is a function of z and y and that ze y cos z. Find and

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Q: B: prove that lim cos0 = 1 ||

A: We have to prove that

Q: where m, n Evaluate lim X/2 cos nx +0 are integers.

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Q: TOC Evaluate the lim cos 3

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Q: 1-cos5h Evaluate ļim h→0 cos7h-1°

A: Given, Evaluate limh→01-cos5hcos7h-1

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

A: Solution is given below..

Q: 1) Evaluate the following indeterminate forms. a) lim sin 8x cosec 7x

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Q: Find x² lim x0 1 - cos x

A: Solved below...

Q: e* – 1 lim x-0 tan 2x

A: Given: limx→0ex-1tan2x

Q: Show that lim x|cos )= = 0.

A:

Q: Evaluate lim 1-cos3x x→0 tan 2x

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Q: Evaluate the following limit 2 cos 01 lim 0 0

A: If we plug theta=0 then we get 0/0 form ,which is undetermined.So we have to use L'hopital's rule.