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

The limit as x approaches 3 of sqrt(2x^2+3) is square root of 21

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

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

21

Decimal Notation

4.58257 \dots

Solution steps

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

Plug in the value

x = 3

= 2 \cdot 3^{2} + 3

Simplify

= 21

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

x \to 3 lim (2 x 12 - x)

x \to 3 lim (7 x)

x \to 0 lim (- 43 x^{2} - 4 x + 8)

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

What is the limit as x approaches 3 of sqrt(2x^2+3) ?
The limit as x approaches 3 of sqrt(2x^2+3) is square root of 21