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

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

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

x \to 1 lim (1 + x)

2

Decimal Notation

1.41421 \dots

Solution steps

x \to 1 lim (1 + x)

Plug in the value

x = 1

= 1 + 1

Simplify

= 2

\frac{d ^{2}}{d x ^{2}} (8 z^{2} e^{z})

f (x) = 2 x + 9

\int \frac{sin ( 2 x + 1 )}{cos ^{2} ( 2 x + 1 )} d x

\frac{d}{d x} ((2 x + 1)^{3})

f (x) = 4 x - x

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