Let f(x) = cases 1 + | x| ^ /| x| , & - /6 < x < 0 e^ 2x/ 3x , & 0 < x < /6 cases…

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

Problem

Let

f(x) = \begin{cases} \{1 + |\sin x|\}^{\pi/|\sin x|}, & -\pi/6 < x < 0 \\ e^{\tan 2x/\tan 3x}, & 0 < x < \pi/6 \end{cases}

Determine

a

and

b

such that

f(x)

is continuous at

x = 0

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