What is the limit as x approaches 3-of 6/((x-3)^5) ?

The limit as x approaches 3-of 6/((x-3)^5) is -infinity

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limit as x approaches 3-of 6/((x-3)^5)

x \to 3 - lim (\frac{6}{( x - 3 ) ^{5}})

- \infty

Solution steps

x \to 3 - lim (\frac{6}{( x - 3 ) ^{5}})

For

x

approaching

3

from the left

, x < 3 \Rightarrow (x - 3)^{5} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

a re a y = x^{2}, y = 3 - 2 x

\int \frac{4 x}{x ^{4} - 16} d x

d er i v a t i v e y = 2 cot (t) - e^{- t}

\int \frac{( 1 + x ) ^{3}}{x} d x

\frac{d y}{d x} = \frac{e ^{7 x}}{4 y ^{3}}

What is the limit as x approaches 3-of 6/((x-3)^5) ?
The limit as x approaches 3-of 6/((x-3)^5) is -infinity