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

The limit as x approaches 8 of (2x-3)/x is 13/8

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limit as x approaches 8 of (2x-3)/x

x \to 8 lim (\frac{2 x - 3}{x})

\frac{13}{8}

Decimal Notation

1.625

Solution steps

x \to 8 lim (\frac{2 x - 3}{x})

Plug in the value

x = 8

= \frac{2 \cdot 8 - 3}{8}

Simplify

= \frac{13}{8}

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

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

x \to 0 lim (\frac{4 x - 1}{x})

x \to 0 + lim (ln (x) ln (1 - x))

x \to 2 lim (\frac{5}{4 x - 8})

What is the limit as x approaches 8 of (2x-3)/x ?
The limit as x approaches 8 of (2x-3)/x is 13/8