What is the limit as x approaches-6 of x^2+7x^{-2} ?

The limit as x approaches-6 of x^2+7x^{-2} is 1303/36

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limit as x approaches-6 of x^2+7x^{-2}

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

\frac{1303}{36}

Decimal Notation

36.19444 \dots

Solution steps

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

Plug in the value

x = - 6

= (- 6)^{2} + 7 (- 6)^{- 2}

Simplify

(- 6)^{2} + 7 (- 6)^{- 2} : \frac{1303}{36}

= \frac{1303}{36}

x \to 2 lim (3 x^{2} - 8 x + 1)

x \to 0 - lim (4 (csc (x) - \frac{1}{x}))

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

x \to 0 lim (x^{2} (ln (x^{2})))

x \to - 1 lim (x^{3} + 3 x^{2} - 2 x - 5)

What is the limit as x approaches-6 of x^2+7x^{-2} ?
The limit as x approaches-6 of x^2+7x^{-2} is 1303/36