What is the limit as x approaches 4-of 3/((4-x)^3) ?

The limit as x approaches 4-of 3/((4-x)^3) is infinity

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limit as x approaches 4-of 3/((4-x)^3)

x \to 4 - lim (\frac{3}{( 4 - x ) ^{3}})

\infty

Solution steps

x \to 4 - lim (\frac{3}{( 4 - x ) ^{3}})

For

x

approaching

4

from the left

, x < 4 \Rightarrow (4 - x)^{3} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to \infty lim (\frac{4 x ^{3} - 6 x ^{2}}{7 x ^{\frac{7}{2}} - 5 x - 3})

h \to 0 lim (\frac{- 1}{h})

x \to 2 lim (\frac{4 x + 7}{2 x + 1})

x \to 1 lim (I n (x))

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

What is the limit as x approaches 4-of 3/((4-x)^3) ?
The limit as x approaches 4-of 3/((4-x)^3) is infinity