Find the limit or indicate that it does not exist. lim t→L 5 i+ 4 sin i+ t k cos tan Select the correct choice below and, if necessary, fill in the answer box in your choice. A. lim ll sin (cos (tan k - (D+O+Ok 5 -t|j+ 5 -t|k = t- (Type an exact answer, using n and radicals as needed.) B. The limit does not exist and is not ∞ or -∞.

Q: et +e-& – 2 Evaluate L = lim Hint: use L'Hospital's Rule. 1- cos x |

A: Use L hospital rule

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

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A: limit

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Q: Find the limits cos 0 lim 0-00 30

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Q: c) Find sin a i.) lim,0 (2+ V2+h-V2 ii.) lim,→0

A: Find the limit of functions

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A: We need to calculate: limx→π41-tan x sec2x This can be evaluated as follows:

Q: Use The Definition, prove That. Note: f(z) = lim f(z+AZ)-f(z) DZ-DO AZ "\ I dz -Sinz=cosz

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Q: Find the limit. lim X→∞ lim X→∞ sin 2x 18x sin 2x 18x = (Simplify your answer.)

A: