What is the limit as x approaches 4 of sqrt(2x+1) ?

The limit as x approaches 4 of sqrt(2x+1) is 3

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limit as x approaches 4 of sqrt(2x+1)

x \to 4 lim (2 x + 1)

3

Solution steps

x \to 4 lim (2 x + 1)

Plug in the value

x = 4

= 2 \cdot 4 + 1

Simplify

2 \cdot 4 + 1 : 3

= 3

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What is the limit as x approaches 4 of sqrt(2x+1) ?
The limit as x approaches 4 of sqrt(2x+1) is 3