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

The limit as x approaches 2 of sqrt(x)+x is sqrt(2)+2

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

x \to 2 lim (x + x)

2 + 2

Decimal Notation

3.41421 \dots

Solution steps

x \to 2 lim (x + x)

Plug in the value

x = 2

= 2 + 2

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