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

The limit as x approaches 1+of 3/(x-1) is infinity

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

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

\infty

Solution steps

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

For

x

approaching

1

from the right

, x > 1 \Rightarrow x - 1 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 0 lim (x^{2} ln (2 x^{3}))

x \to 0 lim (x cos (\frac{π}{x}))

x \to - \frac{π}{2} + lim (- 5 x - \frac{π}{2})

x \to - 2 + lim (\frac{x - ∣ x ∣}{x + 2})

x \to 0 lim (x + tan (x))

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