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

The limit as x approaches 3 of sqrt(x+3) is square root of 6

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

x \to 3 lim (x + 3)

6

Decimal

2.44948 \dots

Solution steps

x \to 3 lim (x + 3)

Plug in the value

x = 3

= 3 + 3

Simplify

= 6

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

x \to \infty lim (x^{2} + 7 x + 2 - x)

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

x \to 0 lim (3 x^{2})

x \to \infty lim (\frac{2 x ^{3} - 5 x ^{2} + 4 x - 345}{6 x ^{3} + 2 x})

What is the limit as x approaches 3 of sqrt(x+3) ?
The limit as x approaches 3 of sqrt(x+3) is square root of 6