What is the limit as x approaches 0 of e^{x^2}-1 ?

The limit as x approaches 0 of e^{x^2}-1 is 0

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limit as x approaches 0 of e^{x^2}-1

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

0

Solution steps

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

Plug in the value

x = 0

= e^{0^{2}} - 1

Simplify

= 0

\frac{d y}{d x} = x^{2} - y - 2, y (0) = 1

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\int (1 - 2 x^{2} - \frac{4}{x ^{- 3}}) x^{- 3} d x

\int (7 x^{2} - 12 x) e^{2 x} d x

What is the limit as x approaches 0 of e^{x^2}-1 ?
The limit as x approaches 0 of e^{x^2}-1 is 0