b) Use L'Hôpital's Rule to evaluate the limit L. e2x lim X→∞ x2

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A: Solving

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A: Solution is given below:

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A: A detailed solution is given below

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A: Trigonometric values cot2π6=32=3 sec2π4=22=2

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A: We have to find out

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A: I have stated the used formula in the solution

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A:

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A: Find your answer below

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A: Use linear differential equation concept

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A: Application of integration

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A: We can solve this problem as follows:

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A: