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

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

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

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

\frac{2}{3}

Solution steps

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

Plug in the value

x = 3

= 1 + \frac{1}{3}

Simplify

1 + \frac{1}{3} : \frac{2}{3}

= \frac{2}{3}

x \to 3 - lim (\frac{1}{( x ^{2} - 9 )})

sin (2 t)

\frac{d}{d x} ((x + 1)^{\frac{1}{3}})

\frac{d}{d x} (arcsec (x^{2}))

\frac{2 s}{( s + 2 )}

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