What is the limit as x approaches 0 of e^{tan(x)} ?

The limit as x approaches 0 of e^{tan(x)} is 1

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limit as x approaches 0 of e^{tan(x)}

x \to 0 lim (e^{t a n (x)})

1

Solution steps

x \to 0 lim (e^{t a n (x)})

Plug in the value

x = 0

= e^{t a n (0)}

Simplify

e^{t a n (0)} : 1

= 1

x \to 0 + lim (ln (5 s) in x)

x \to 0 lim (\frac{x}{arcsin ( x )})

x \to 7 + lim (\frac{1}{( x - 7 ) ^{2}} + 1)

x \to 1 lim (5 x)

x \to 0 + lim (sin^{2 x} (x))

What is the limit as x approaches 0 of e^{tan(x)} ?
The limit as x approaches 0 of e^{tan(x)} is 1