What is the limit as x approaches 3 of x/((x^3-1)) ?

The limit as x approaches 3 of x/((x^3-1)) is 3/26

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limit as x approaches 3 of x/((x^3-1))

x \to 3 lim (\frac{x}{( x ^{3} - 1 )})

\frac{3}{26}

Decimal

0.11538 \dots

Solution steps

x \to 3 lim (\frac{x}{x ^{3} - 1})

Plug in the value

x = 3

= \frac{3}{3 ^{3} - 1}

Simplify

= \frac{3}{26}

x \to 3 lim (\frac{x - 13 x}{x})

x \to 3 lim (5 x + v - 223 + 1)

x \to 3 lim ((1 + x)^{\frac{1}{x}})

x \to 3 lim (\frac{cos ^{2} ( x )}{x})

x \to 3 lim (\frac{( 7 ^{x} - 5 ^{x} )}{x})

What is the limit as x approaches 3 of x/((x^3-1)) ?
The limit as x approaches 3 of x/((x^3-1)) is 3/26