What is the limit as x approaches 0 of (1+x/3)^2 ?

The limit as x approaches 0 of (1+x/3)^2 is 1

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limit as x approaches 0 of (1+x/3)^2

x \to 0 lim ((1 + \frac{x}{3})^{2})

1

Solution steps

x \to 0 lim ((1 + \frac{x}{3})^{2})

Plug in the value

x = 0

= (1 + \frac{0}{3})^{2}

Simplify

(1 + \frac{0}{3})^{2} : 1

= 1

x \to 1 lim (\frac{1 - cos ( 2 x )}{x})

x \to 0 lim (arctan (0))

x \to \infty lim (+ x + x)

x \to 2 - lim (e^{(\frac{5}{2 - x})})

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

What is the limit as x approaches 0 of (1+x/3)^2 ?
The limit as x approaches 0 of (1+x/3)^2 is 1