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

The limit as x approaches 0 of sqrt(x+a) is sqrt(a)

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limit as x approaches 0 of sqrt(x+a)

x \to 0 lim (x + a)

a

Solution steps

x \to 0 lim (x + a)

Plug in the value

x = 0

= 0 + a

Simplify

= a

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What is the limit as x approaches 0 of sqrt(x+a) ?
The limit as x approaches 0 of sqrt(x+a) is sqrt(a)