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

The limit as x approaches 5 of (x^2+2)/(3x) is 9/5

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

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

\frac{9}{5}

Decimal

1.8

Solution steps

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

Plug in the value

x = 5

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

Simplify

\frac{5 ^{2} + 2}{3 \cdot 5} : \frac{9}{5}

= \frac{9}{5}

h \to 0 lim (2 h + 11)

x \to 0 lim (x^{s i n (7 x)})

x \to 0 lim (\frac{7 ^{x} - 3 ^{x}}{x})

x \to 3 lim (\frac{1}{2 x})

x \to 0 + lim ((1 + x^{3})^{\frac{2}{x}})

What is the limit as x approaches 5 of (x^2+2)/(3x) ?
The limit as x approaches 5 of (x^2+2)/(3x) is 9/5