What is the limit as x approaches 0-of 5/(sin(x)) ?

The limit as x approaches 0-of 5/(sin(x)) is -infinity

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limit as x approaches 0-of 5/(sin(x))

x \to 0 - lim (\frac{5}{sin ( x )})

- \infty

Solution steps

x \to 0 - lim (\frac{5}{sin ( x )})

For

x

approaching

0

from the left

, x < 0 \Rightarrow sin (x) < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

a cos (2 π + θ)

\frac{d y}{d t} = - 4 y + 3 e^{- t}

\int 3 x^{2} + x x d x

x \to 0 lim (\frac{x ^{2} - 9 x}{x})

(3, 3), (2, - 2)

What is the limit as x approaches 0-of 5/(sin(x)) ?
The limit as x approaches 0-of 5/(sin(x)) is -infinity