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in Continuity and Differentiability by (31.3k points)
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Discuss the continuity of the following functions.

\(g(x) = \left(1 + \frac{5x}{2}\right)^{\frac{2}{x}}, x \neq 0\)

g(x) = (1 + 5x/2)2/x, x ≠ 0

= e5/2, x = 0; at x = 0.

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Best answer

g(x) = (1 + 5x/2)2/x

\(\therefore\) g is discontinuous at x = 0

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