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

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

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

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

2

Decimal Notation

1.41421 \dots

Solution steps

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

Plug in the value

x = 0

= 0^{2} + 2

Simplify

= 2

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\frac{d}{d s} (s^{2} y (s))

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20 x - 50, y = 0, 2 x^{2}

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