What is the limit as x approaches 2 of 3^{4x}e^{2x} ?

The limit as x approaches 2 of 3^{4x}e^{2x} is 6561e^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 2 of 3^{4x}e^{2x}

x \to 2 lim (3^{4 x} e^{2 x})

6561 e^{4}

Decimal

358218.46236 \dots

Solution steps

x \to 2 lim (3^{4 x} e^{2 x})

Plug in the value

x = 2

= 3^{4 \cdot 2} e^{2 \cdot 2}

Simplify

= 6561 e^{4}

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

x \to 2 lim ((x + 1) (x - 3))

x \to 1 lim (x^{2} ln (x))

x \to 2 + lim (3 x)

x \to - 3 lim (9 - 3 x + x^{2})

What is the limit as x approaches 2 of 3^{4x}e^{2x} ?
The limit as x approaches 2 of 3^{4x}e^{2x} is 6561e^4