What is the limit as x approaches 42 of (x^2)/7-6/x ?

The limit as x approaches 42 of (x^2)/7-6/x is 1763/7

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limit as x approaches 42 of (x^2)/7-6/x

x \to 42 lim (\frac{x ^{2}}{7} - \frac{6}{x})

\frac{1763}{7}

Decimal

251.85714 \dots

Solution steps

x \to 42 lim (\frac{x ^{2}}{7} - \frac{6}{x})

Plug in the value

x = 42

= \frac{4 2 ^{2}}{7} - \frac{6}{42}

Simplify

\frac{4 2 ^{2}}{7} - \frac{6}{42} : \frac{1763}{7}

= \frac{1763}{7}

What is the limit as x approaches 42 of (x^2)/7-6/x ?
The limit as x approaches 42 of (x^2)/7-6/x is 1763/7