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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

1

Solution steps

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

Plug in the value

x = 0

= e^{a r c t a n (0)}

Simplify

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

= 1

x \to 0 - lim (\frac{4 x}{2 x ^{2} + e})

x \to 1 + lim (3 x - 1)

x \to 9 + lim (\frac{8}{x + 9})

x \to 0 lim (x^{3} cos (\frac{3}{x}))

x \to - 5 lim (2 x^{2} - 50)

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