What is the limit as x approaches 1.5 of (2x^2-3x)/(2x-3) ?

The limit as x approaches 1.5 of (2x^2-3x)/(2x-3) is 1.5

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limit as x approaches 1.5 of (2x^2-3x)/(2x-3)

x \to 1.5 lim (\frac{2 x ^{2} - 3 x}{2 x - 3})

1.5

Solution steps

x \to 1.5 lim (\frac{2 x ^{2} - 3 x}{2 x - 3})

Simplify

\frac{2 x ^{2} - 3 x}{2 x - 3} : x

= x \to 1.5 lim (x)

Plug in the value

x = 1.5

= 1.5

x \to 5 lim (\frac{1}{5 - x})

x \to 4 - lim (\frac{∣ x + 4 ∣}{x + 4})

x \to - 0 lim (\frac{sin ( x )}{x})

x \to \infty lim (5^{x + 6})

x \to - \infty lim (\frac{- 10 x ^{5} - 7 x ^{3}}{5 + 2 x ^{5}})

What is the limit as x approaches 1.5 of (2x^2-3x)/(2x-3) ?
The limit as x approaches 1.5 of (2x^2-3x)/(2x-3) is 1.5