What is the limit as x approaches 5 of sqrt(x)+x^2 ?

The limit as x approaches 5 of sqrt(x)+x^2 is sqrt(5)+25

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limit as x approaches 5 of sqrt(x)+x^2

x \to 5 lim (x + x^{2})

5 + 25

Decimal Notation

27.23606 \dots

Solution steps

x \to 5 lim (x + x^{2})

Plug in the value

x = 5

= 5 + 5^{2}

Simplify

= 5 + 25

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What is the limit as x approaches 5 of sqrt(x)+x^2 ?
The limit as x approaches 5 of sqrt(x)+x^2 is sqrt(5)+25