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

The limit as x approaches 3 of (5+2)/x is 7/3

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

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

\frac{7}{3}

Decimal

2.33333 \dots

Solution steps

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

Plug in the value

x = 3

= \frac{5 + 2}{3}

Simplify

= \frac{7}{3}

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

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

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

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

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

What is the limit as x approaches 3 of (5+2)/x ?
The limit as x approaches 3 of (5+2)/x is 7/3