What is the limit as x approaches 4 of 1/(x-2) ?

The limit as x approaches 4 of 1/(x-2) is 1/2

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limit as x approaches 4 of 1/(x-2)

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Plug in the value

x = 4

= \frac{1}{4 - 2}

Simplify

= \frac{1}{2}

x \to 0 lim (e^{a r c t a n (x)})

x \to 0 - lim (\frac{4 x}{2 x ^{2} + e})

x \to 1 + lim (3 x - 1)

x \to 9 + lim (\frac{8}{x + 9})

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

What is the limit as x approaches 4 of 1/(x-2) ?
The limit as x approaches 4 of 1/(x-2) is 1/2