What is the limit as x approaches 0 of sqrt(x^2+1) ?

The limit as x approaches 0 of sqrt(x^2+1) is 1

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limit as x approaches 0 of sqrt(x^2+1)

x \to 0 lim (x^{2} + 1)

1

Solution steps

x \to 0 lim (x^{2} + 1)

Plug in the value

x = 0

= 0^{2} + 1

Simplify

= 1

\frac{d y}{d x} = x + 4

30 e^{x} x

\int_{0}^{1} (u + 2) (u - 3) d u

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

x \to 0 lim (\frac{1}{2 ^{x}})

What is the limit as x approaches 0 of sqrt(x^2+1) ?
The limit as x approaches 0 of sqrt(x^2+1) is 1