What is the limit as x approaches 1 of 2x^{3/2}-3x^2 ?

The limit as x approaches 1 of 2x^{3/2}-3x^2 is -1

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limit as x approaches 1 of 2x^{3/2}-3x^2

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

- 1

Solution steps

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

Plug in the value

x = 1

= 2 \cdot 1^{\frac{3}{2}} - 3 \cdot 1^{2}

Simplify

= - 1

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