What is the limit as x approaches 0 of 1/(x^2+3) ?

The limit as x approaches 0 of 1/(x^2+3) is 1/3

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limit as x approaches 0 of 1/(x^2+3)

x \to 0 lim (\frac{1}{x ^{2} + 3})

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

x \to 0 lim (\frac{1}{x ^{2} + 3})

Plug in the value

x = 0

= \frac{1}{0 ^{2} + 3}

Simplify

= \frac{1}{3}

\int x e^{2} x d x

\int \frac{x ^{3} + 5}{x ^{2}} d x

\frac{x + 1}{x + 5}

\frac{d}{d x} (x e^{x} + x - 5 e^{x} - 5)

y = x sin (\frac{2}{x})

What is the limit as x approaches 0 of 1/(x^2+3) ?
The limit as x approaches 0 of 1/(x^2+3) is 1/3