Evaluate the following limits (sin(5h) а. lim h→0 4х ´sin(5h)` b. lim h→o \sin(4h). ´tan(5h)` С. h→0 \sin(4h), lim (

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Q: Let f(x) = V1– cos 2x a) f has a • discontinuity at 0. b) lim f(x) = c) lim f(x) =

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Q: Find the limit lim (a,y) (-45,9) xy cos(x + 5y) (Enter 'DNE' if the limit does not exist)

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Q: 2. Evaluate lim,→03 +t² sin(t³ +) using limit laws. Give reasons for your answer.

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

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Q: Determine whether the limit lim xsin exist, 72 I

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Q: Q.4: Prove or disprove, lim f(x) = 4 If f(x) = x # 2 x = 2' I-2

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Q: Compute lim (cos x)/x² x→0 =

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Q: Q1/ (a) By using the definition of limit, prove that lim (3x+iy)=9i. z31

A: Please find the  attachment for the details solution

Q: Does the limit   limx→0+ sin(1/x) exist? Justify your answer.

A: The given problem is to find whether the limit exists or not.Given limit,limx→0+sin(1x)

Q: 1. Let f: (0,00)→ R be a differentiable function such that lim f'(x) = 0. x+00 Prove or disprove…

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Q: Find the limit or determine that the limit does not exist limx→2 (sin(pi/2 times x)/cos(pi times…

A: We have to determine whether the limit exists or not for the following expression…