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

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

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limit as x approaches 1 of 1/(sqrt(x+1))

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

\frac{1}{2}

Decimal Notation

0.70710 \dots

Solution steps

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

Plug in the value

x = 1

= \frac{1}{1 + 1}

Simplify

= \frac{1}{2}

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x \to 0 lim (5^{x} + x^{5})

x \to 0 - lim (x^{2} - \frac{6}{x})

x \to 0 lim (cot (11 x))

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