Express the limit lim > (7 sin (27) + 6)Az, over [2, 4] as an integral TL 00 1-1 Provide a, b and f(x) in the expression | f(x)dr. 9. f(x)

Q: Ql) check the continuity of fX) at X=-1, 0,1.23 -1<x<1 x-4 2x-1, 3x-2 2, x=3 f(x) = 1sxs2 25x53 Q2)…

A: 1)

Q: Suppose the function fis continuous and has domain (-0o, 00) and has all of the following…

A: You have posted multiple subparts. As per the instruction, we will be answering only the first four…

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Q: ,3x lim x→0 CO cosh(Зa)

A: By substituting cosh(3x) in givenimit we can get the required value of Function.

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Q: fn. (1,00) Evaluate lim

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Q: Find the limits in Exercise

A: Given, limθ→0cosπθsinθ we know expansion of sinx sinx=x-x33!+x55!-.... now put this expansion in…

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A: Find the limit limx→-πx+4cosx+π

Q: Compute lim 240 sinx² +1-cos.T 2 I + (1+x²) ²/2²)

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Q: Findl limit graphically. Use Sandwich theorem to confirm your answer lum ²Cos (12) X40

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Q: Find  limit x 0  1/x^2if it exists.

A: We find the limit numerically

Q: )Use the Sandwich Theorem to show that lim cos x-1 =0. x2 Find f'(x) for f(x) = sec(vx2 + 1).

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Q: 1 x-1 x-1 ln x 3) lim

A: Explanation of the answer is as follows