What is the limit as x approaches 49 of (x^2)/7-7/x ?

The limit as x approaches 49 of (x^2)/7-7/x is 2400/7

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limit as x approaches 49 of (x^2)/7-7/x

x \to 49 lim (\frac{x ^{2}}{7} - \frac{7}{x})

\frac{2400}{7}

Decimal

342.85714 \dots

Solution steps

x \to 49 lim (\frac{x ^{2}}{7} - \frac{7}{x})

Plug in the value

x = 49

= \frac{4 9 ^{2}}{7} - \frac{7}{49}

Simplify

\frac{4 9 ^{2}}{7} - \frac{7}{49} : \frac{2400}{7}

= \frac{2400}{7}

What is the limit as x approaches 49 of (x^2)/7-7/x ?
The limit as x approaches 49 of (x^2)/7-7/x is 2400/7