What is the limit as x approaches 0 of sqrt(3x^2+5) ?

The limit as x approaches 0 of sqrt(3x^2+5) is square root of 5

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limit as x approaches 0 of sqrt(3x^2+5)

x \to 0 lim (3 x^{2} + 5)

5

Decimal

2.23606 \dots

Solution steps

x \to 0 lim (3 x^{2} + 5)

Plug in the value

x = 0

= 3 \cdot 0^{2} + 5

Simplify

= 5

ln (x^{2} + 1)

\int \frac{1}{x ^{2} + x + 1} d x

\int \frac{9 + x + x ^{2}}{x} d x

(x^{2} + 3) (x^{3} + 5)

x \to \infty lim (x^{3} e^{x})

What is the limit as x approaches 0 of sqrt(3x^2+5) ?
The limit as x approaches 0 of sqrt(3x^2+5) is square root of 5