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

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

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

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

\infty

Solution steps

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

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

x \to 1 + lim (1) = 1

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

= 1 + \infty

Apply Infinity Property:

c + \infty = \infty

= \infty

\int 7 x + 5 d x

f (x) = sin (x^{5})

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

\int 13 x sin (x) d x

y^{^{'}} = y (x y^{2} + 5)

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