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

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

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

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

- \infty

Solution steps

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

For

x

approaching

1

from the right

, x > 1 \Rightarrow 1 - x < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{d y}{d x} = 3 x + x y

9 y^{^{''}} + 12 y^{^{'}} + 4 y = 0

\int_{0}^{1} (3 x + 1)^{4} d x

f (x) = \frac{1}{1 + x ^{2}}, at x = 2

\frac{d x}{d t} = x^{2} + \frac{1}{49}, x (0) = 1

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