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

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

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limit as b approaches 1-of-1/(b-1)-1

b \to 1 - lim (- \frac{1}{b - 1} - 1)

\infty

Solution steps

b \to 1 - lim (- \frac{1}{b - 1} - 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

= - b \to 1 - lim (\frac{1}{b - 1}) - b \to 1 - lim (1)

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

b \to 1 - lim (1) = 1

= - (- \infty) - 1

Simplify

- (- \infty) - 1 : \infty

= \infty

x \to 0 lim (\frac{3}{4} x + 1)

x \to \infty lim (1 - 4 x)

x \to 1 + lim (3 x + 2)

x \to 0 lim (\frac{tan ( 2 x )}{6 x})

x \to \infty lim (2 x - x)

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