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The function f(x) = \(\begin{cases} \frac{e^{3x}-e^{-5x}}{x}&, \quad \text{if } x≠0\\ k &, \quad \text{if } x=0 \end{cases}\) is continuous at x = 0 for the value of k,as :

{(e3x-e-5x)/x, if x ≠ 0 k, if x = 0

(a) 3

(b) 5

(c) 2

(d) 8

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2 Answers

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by (23.6k points)

Option : (d) 8

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Answer (d) 8




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