What is the limit as x approaches-10-of 1/((x+10)^6) ?

The limit as x approaches-10-of 1/((x+10)^6) is infinity

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limit as x approaches-10-of 1/((x+10)^6)

x \to - 10 - lim (\frac{1}{( x + 10 ) ^{6}})

\infty

Solution steps

x \to - 10 - lim (\frac{1}{( x + 10 ) ^{6}})

For

x

approaching

- 10

from the left

, x < - 10 \Rightarrow (x + 10)^{6} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 3 lim (\frac{( x - 3 ) ^{2} + sin ( π x )}{\frac{1}{x} - \frac{1}{3}})

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

x \to 0 + lim ((e^{x} - 1) cot (x))

x \to 0 lim (\frac{ln ( x ^{2} + 1 )}{x + 4 \cdot sin ( x )})

x \to 0 lim (x^{3} \cdot cos (\frac{1}{x}))

What is the limit as x approaches-10-of 1/((x+10)^6) ?
The limit as x approaches-10-of 1/((x+10)^6) is infinity