F(x) = cases ( ( 4 + x ) )^ 1/x , & x 0 k, & x = 0 cases For what value of is…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

f(x) = \begin{cases} \left( \tan \left( \frac{\pi}{4} + x \right) \right)^{1/x}, & x \neq 0 \\ k, & x = 0 \end{cases}

For what value of

k

is

f(x)

continuous at

x = 0

?

Related theory

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