What is the limit as x approaches 4 of sqrt(x^2+x+5) ?

The limit as x approaches 4 of sqrt(x^2+x+5) is 5

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limit as x approaches 4 of sqrt(x^2+x+5)

x \to 4 lim (x^{2} + x + 5)

5

Solution steps

x \to 4 lim (x^{2} + x + 5)

Plug in the value

x = 4

= 4^{2} + 4 + 5

Simplify

4^{2} + 4 + 5 : 5

= 5

x \to 0 lim (1 + 3 e^{x})

x \to 4 + lim (\frac{x + 4}{x - 4})

y = (\frac{x}{7} + 6)^{\frac{3}{2}}

\int \frac{2 e ^{x}}{e ^{2 x} + 2 e ^{x} + 1} d x

\frac{d}{d x} (\frac{2 x - 1}{3 x ^{2}})

What is the limit as x approaches 4 of sqrt(x^2+x+5) ?
The limit as x approaches 4 of sqrt(x^2+x+5) is 5