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

The limit as x approaches 0 of arctan(e^x) is pi/4

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 arctan(e^x)

x \to 0 lim (arctan (e^{x}))

\frac{π}{4}

Decimal Notation

0.78539 \dots

Solution steps

x \to 0 lim (arctan (e^{x}))

Plug in the value

x = 0

= arctan (e^{0})

Simplify

arctan (e^{0}) : \frac{π}{4}

= \frac{π}{4}

\int_{2}^{3} \frac{1}{( x + 1 ) ln ( x + 1 )} d x

\int \frac{csc ^{2} ( x )}{cot ^{4} ( x )} d x

f (x) = 10 x^{3} - 20 x + \frac{1}{5}

y^{^{''}} + y = \frac{1}{4} sin (3 t) - \frac{3}{4} sin (t)

\frac{d}{d x} (arccos (\frac{a x}{2}))

What is the limit as x approaches 0 of arctan(e^x) ?
The limit as x approaches 0 of arctan(e^x) is pi/4