What is the limit as θ approaches 0 of θ/(sin(θ)) ?

The limit as θ approaches 0 of θ/(sin(θ)) is 1

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limit as θ approaches 0 of θ/(sin(θ))

θ \to 0 lim (\frac{θ}{sin ( θ )})

1

Solution steps

θ \to 0 lim (\frac{θ}{sin ( θ )})

Apply L'Hopital's Rule

: θ \to 0 lim (\frac{1}{cos ( θ )})

= θ \to 0 lim (\frac{1}{cos ( θ )})

Plug in the value

θ = 0

= \frac{1}{cos ( 0 )}

Simplify

\frac{1}{cos ( 0 )} : 1

= 1

\frac{d y}{d x} + \frac{y}{x} = x^{2} y^{2}

\int \frac{4 x - 7}{2 x ^{4}} d x

\frac{\partial}{\partial x} ((x - y) (1 - x y))

\int_{0}^{1} \frac{1}{x ^{2} + 1} d x

What is the limit as θ approaches 0 of θ/(sin(θ)) ?
The limit as θ approaches 0 of θ/(sin(θ)) is 1