What is the limit as x approaches 2 of 1/x-1/(x^3) ?

The limit as x approaches 2 of 1/x-1/(x^3) is 3/8

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limit as x approaches 2 of 1/x-1/(x^3)

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

\frac{3}{8}

Decimal Notation

0.375

Solution steps

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

Plug in the value

x = 2

= \frac{1}{2} - \frac{1}{2 ^{3}}

Simplify

\frac{1}{2} - \frac{1}{2 ^{3}} : \frac{3}{8}

= \frac{3}{8}

z \to 0 lim (\frac{z}{sin ( z )})

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

x \to 0 lim (\frac{x}{∣ x ∣})

a \to 0 lim (a \cdot sin (x + \frac{π}{a}))

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

What is the limit as x approaches 2 of 1/x-1/(x^3) ?
The limit as x approaches 2 of 1/x-1/(x^3) is 3/8