What is the limit as x approaches 3/2 of-sqrt(2x+4) ?

The limit as x approaches 3/2 of-sqrt(2x+4) is -sqrt(7)

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limit as x approaches 3/2 of-sqrt(2x+4)

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

- 7

Decimal

- 2.64575 \dots

Solution steps

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

Plug in the value

x = \frac{3}{2}

= - 2 \cdot \frac{3}{2} + 4

Simplify

- 2 \cdot \frac{3}{2} + 4 : - 7

= - 7

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

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

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

x \to 0 lim (\frac{0}{2 x})

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

What is the limit as x approaches 3/2 of-sqrt(2x+4) ?
The limit as x approaches 3/2 of-sqrt(2x+4) is -sqrt(7)