Question

If the function $f(x) = \begin{cases} [ tan (\frac {\pi}{4}+x)]^{1/x} & \quad for\, x \neq 0\\\ K \,\,\,\,\,\,\,\,\,\text{if } x =0 \end{cases}$ is continuous at $x = 0$, then $K = ?$

• A. $e$
• B. $e^{-1}$
• C. $e^2$
• D. $e^{-2}$

Answer 1

Answer: (C)

$e^2$

Answer 2

Answer (c) $e^2$