What is the limit as x approaches 3 of sqrt(x^3+6x) ?

The limit as x approaches 3 of sqrt(x^3+6x) is 3sqrt(5)

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limit as x approaches 3 of sqrt(x^3+6x)

x \to 3 lim (x^{3} + 6 x)

35

Decimal Notation

6.70820 \dots

Solution steps

x \to 3 lim (x^{3} + 6 x)

Plug in the value

x = 3

= 3^{3} + 6 \cdot 3

Simplify

3^{3} + 6 \cdot 3 : 35

= 35

\int \frac{x - 4}{x ^{2} + 5 x + 6} d x

y = (\frac{cos ( x )}{1 - sin ( x )})^{2}

n = 1 \sum \infty \frac{1}{3 ^{n} + n ^{3}}

\int t^{- 2} e^{t} d t

(- 5, 2), (5, - 4)

What is the limit as x approaches 3 of sqrt(x^3+6x) ?
The limit as x approaches 3 of sqrt(x^3+6x) is 3sqrt(5)