What is the limit as x approaches pi of e^{sin(x)} ?

The limit as x approaches pi of e^{sin(x)} is 1

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limit as x approaches pi of e^{sin(x)}

x \to π lim (e^{s i n (x)})

1

Solution steps

x \to π lim (e^{s i n (x)})

Plug in the value

x = π

= e^{s i n (π)}

Simplify

e^{s i n (π)} : 1

= 1

x \to 0 lim (\frac{1}{( x - 3 ) ^{2}})

x \to 1 lim (\frac{x ^{34} - 1}{x ^{27} + 1})

x \to π - lim (- ln (1 + cos (x)))

x \to 0 lim (x^{2} \cdot ln (x^{2}))

x \to \infty lim (- x^{5})

What is the limit as x approaches pi of e^{sin(x)} ?
The limit as x approaches pi of e^{sin(x)} is 1