What is the limit as x approaches 3 of 1/(ln(x+1)) ?

The limit as x approaches 3 of 1/(ln(x+1)) is 1/(2ln(2))

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limit as x approaches 3 of 1/(ln(x+1))

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

\frac{1}{2 ln ( 2 )}

Decimal Notation

0.72134 \dots

Solution steps

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

Plug in the value

x = 3

= \frac{1}{ln ( 3 + 1 )}

Simplify

\frac{1}{ln ( 3 + 1 )} : \frac{1}{2 ln ( 2 )}

= \frac{1}{2 ln ( 2 )}

x \to 3 lim (\frac{6}{x - 5})

x \to 3 lim (7 x + 3)

x \to 3 lim ((x, y) (- 1, 2))

x \to 3 lim ((\frac{1 - w ( x )}{x}) 2)

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

What is the limit as x approaches 3 of 1/(ln(x+1)) ?
The limit as x approaches 3 of 1/(ln(x+1)) is 1/(2ln(2))