What is the limit as x approaches 3 of x-sqrt(x+1) ?

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

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limit as x approaches 3 of x-sqrt(x+1)

x \to 3 lim (x - x + 1)

1

Solution steps

x \to 3 lim (x - x + 1)

Plug in the value

x = 3

= 3 - 3 + 1

Simplify

3 - 3 + 1 : 1

= 1

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