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in Continuity and Differentiability by (31.3k points)
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Find k, if the function f is continuous at x = 0, where

\(f(x) = \frac{(e^x - 1)sin\,x}{x^2},\) for x ≠ 0

f(x) = ((ex - 1)sin x)/x2, for x ≠ 0

= k, for x = 0

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Best answer

f(x) = ((ex - 1)sin x)/x2

Given, f is continuous at x = 0 and f(0) = k

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