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

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

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

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

1

Solution steps

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

Plug in the value

x = 1

= 1 + 3 \cdot 1 - 1

Simplify

1 + 3 \cdot 1 - 1 : 1

= 1

x \to \infty lim (\frac{1}{+ x})

x \to 3 - lim (\frac{4 x - 12}{x - 3})

x \to - \frac{1}{2} lim (- \frac{7}{∣ 2 x + 1 ∣})

x \to 0 lim ([x - 2] \cdot [x + 3])

x \to + 0 lim (x^{s i n (x)})

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