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

The limit as x approaches 1 of sqrt(x+1) is square root of 2

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

x \to 1 lim (x + 1)

2

Decimal Notation

1.41421 \dots

Solution steps

x \to 1 lim (x + 1)

Plug in the value

x = 1

= 1 + 1

Simplify

= 2

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