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

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

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

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

0

Solution steps

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

Simplify

\frac{1 + x ^{2} - 1}{x} : x

= x \to 0 lim (x)

Plug in the value

x = 0

= 0

x \to \frac{π}{3} lim (sin (3 x))

n = 5 \sum \infty e^{7 - 6 n}

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

\frac{d}{d x} (e^{x} (1 - y)^{2})

\frac{y d y}{d t} = (1 + y^{2}) t^{2}

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