What is the limit as x approaches 0 of cos^{3/(x^2)}(2x) ?

The limit as x approaches 0 of cos^{3/(x^2)}(2x) is 1/(e^6)

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 cos^{3/(x^2)}(2x)

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

\frac{1}{e ^{6}}

Decimal Notation

0.00247 \dots

Solution steps

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

Apply exponent rules

= x \to 0 lim (e^{\frac{3}{x ^{2}} l n (c o s (2 x))})

Apply the Limit Chain Rule:

\frac{1}{e ^{6}}

= \frac{1}{e ^{6}}

\frac{d y}{d x} = y^{2}

f (x) = \frac{6}{3 x + 1}, at a = - 1

\int \frac{x}{1 + x} d x

\frac{d}{d x} (- \frac{1}{4 x ^{4}})

\int cos (x) sin (x) d x

What is the limit as x approaches 0 of cos^{3/(x^2)}(2x) ?
The limit as x approaches 0 of cos^{3/(x^2)}(2x) is 1/(e^6)