What is the limit as x approaches 3 of sqrt(6x^2+2) ?

The limit as x approaches 3 of sqrt(6x^2+2) is 2sqrt(14)

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limit as x approaches 3 of sqrt(6x^2+2)

x \to 3 lim (6 x^{2} + 2)

214

Decimal Notation

7.48331 \dots

Solution steps

x \to 3 lim (6 x^{2} + 2)

Plug in the value

x = 3

= 6 \cdot 3^{2} + 2

Simplify

6 \cdot 3^{2} + 2 : 214

= 214

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\int_{0}^{1} 3^{2 x} d x

\int_{0}^{x^{3}} y e^{- \frac{y}{x}} d y

\int_{0}^{1} 11 \frac{1}{x ^{p}} d x

What is the limit as x approaches 3 of sqrt(6x^2+2) ?
The limit as x approaches 3 of sqrt(6x^2+2) is 2sqrt(14)