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

The limit as x approaches 2 of (x^2-3)/(2x) is 1/4

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

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

\frac{1}{4}

Decimal

0.25

Solution steps

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

Plug in the value

x = 2

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

Simplify

= \frac{1}{4}

x \to - 2 lim (3 x^{4} + 7 x)

x \to \frac{1}{2} lim ([x] + [- x])

x \to 0 lim (ln (x) + \frac{x ^{2}}{2})

x \to 0 lim (\frac{( 7 ^{x} - 6 ^{x} )}{x})

x \to \infty lim ((\frac{2 ln ( x )}{ln ( 7 x ^{2} )})^{l n (x)})

What is the limit as x approaches 2 of (x^2-3)/(2x) ?
The limit as x approaches 2 of (x^2-3)/(2x) is 1/4