What is the limit as x approaches 9/2 of sqrt(2x-7) ?

The limit as x approaches 9/2 of sqrt(2x-7) is square root of 2

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limit as x approaches 9/2 of sqrt(2x-7)

x \to \frac{9}{2} lim (2 x - 7)

2

Decimal

1.41421 \dots

Solution steps

x \to \frac{9}{2} lim (2 x - 7)

Plug in the value

x = \frac{9}{2}

= 2 \cdot \frac{9}{2} - 7

Simplify

2 \cdot \frac{9}{2} - 7 : 2

= 2

What is the limit as x approaches 9/2 of sqrt(2x-7) ?
The limit as x approaches 9/2 of sqrt(2x-7) is square root of 2