What is the limit as x approaches 3 of sqrt(5x^2+2x) ?

The limit as x approaches 3 of sqrt(5x^2+2x) is square root of 51

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limit as x approaches 3 of sqrt(5x^2+2x)

x \to 3 lim (5 x^{2} + 2 x)

51

Decimal

7.14142 \dots

Solution steps

x \to 3 lim (5 x^{2} + 2 x)

Plug in the value

x = 3

= 5 \cdot 3^{2} + 2 \cdot 3

Simplify

= 51

x \cdot \frac{d y}{d x} + y = e^{- x}

f (x) = \frac{- 8 x}{x ^{2} + 1}

\frac{d}{d x} (\frac{4 + 3 x}{x ^{2} - 2 x})

(x + x y^{2}) d x + e^{x^{2}} y d y = 0

\int_{- 2}^{x^{2} - 3 x} e^{t^{2}} d t

What is the limit as x approaches 3 of sqrt(5x^2+2x) ?
The limit as x approaches 3 of sqrt(5x^2+2x) is square root of 51