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

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

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limit as x approaches 0 of 1/(1+1/x)

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

0

Solution steps

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

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{1}{1 + \frac{1}{x}}) = 0

x \to 0 + lim (\frac{1}{1 + \frac{1}{x}}) = 0

= 0

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

x \to - 1 lim (4 x^{2} - 5 x)

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

x \to - π lim (cos (2 x))

x \to 3 lim (4 - x^{2})

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