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

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

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

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

- 1

Solution steps

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

Plug in the value

x = - 1

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

Simplify

\frac{3 ( - 1 ) ^{2}}{2 ( - 1 ) - 1} : - 1

= - 1

x \to 0 + lim (x^{2 x + 1})

x \to 2 + lim (\frac{∣ x - 2 ∣}{2 - x})

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

x \to - 3 lim (\frac{x ^{6} - 729}{x + 3})

x \to 0 lim (x^{1 - c o s (x)})

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