What is the limit as x approaches 1 of e^{x^2-4x+1} ?

The limit as x approaches 1 of e^{x^2-4x+1} is 1/(e^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 1 of e^{x^2-4x+1}

x \to 1 lim (e^{x^{2} - 4 x + 1})

\frac{1}{e ^{2}}

Decimal

0.13533 \dots

Solution steps

x \to 1 lim (e^{x^{2} - 4 x + 1})

Plug in the value

x = 1

= e^{1^{2} - 4 \cdot 1 + 1}

Simplify

e^{1^{2} - 4 \cdot 1 + 1} : \frac{1}{e ^{2}}

= \frac{1}{e ^{2}}

What is the limit as x approaches 1 of e^{x^2-4x+1} ?
The limit as x approaches 1 of e^{x^2-4x+1} is 1/(e^2)