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

The limit as x approaches 1/2 of-(x^2)/2-2 is -17/8

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

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

- \frac{17}{8}

Decimal

- 2.125

Solution steps

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

Plug in the value

x = \frac{1}{2}

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

Simplify

- \frac{( \frac{1}{2} ) ^{2}}{2} - 2 : - \frac{17}{8}

= - \frac{17}{8}

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

x \to 2 lim (ln (3 - x))

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

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

x \to 1 lim (csc (π x) ln (x))

What is the limit as x approaches 1/2 of-(x^2)/2-2 ?
The limit as x approaches 1/2 of-(x^2)/2-2 is -17/8