What is the limit as x approaches 3 of (1)^{1/(x-3)} ?

The limit as x approaches 3 of (1)^{1/(x-3)} 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 3 of (1)^{1/(x-3)}

x \to 3 lim ((1)^{\frac{1}{x - 3}})

1

Solution steps

x \to 3 lim (1^{\frac{1}{x - 3}})

Simplify

= x \to 3 lim (1)

x \to a lim c = c

= 1

x \to 0 lim (\frac{- ln ( x ) - 1}{1})

x \to \infty lim (\frac{3}{x} - 2)

x \to 3 + lim (ln (\frac{1}{( x - 3 )}))

x \to \infty lim (\frac{3}{x} - 7)

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

What is the limit as x approaches 3 of (1)^{1/(x-3)} ?
The limit as x approaches 3 of (1)^{1/(x-3)} is 1