What is the limit as x approaches 0 of x/(sin(x^2)) ?

The limit as x approaches 0 of x/(sin(x^2)) is diverges

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limit as x approaches 0 of x/(sin(x^2))

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{x}{sin ( x ^{2} )}) = \infty

x \to 0 - lim (\frac{x}{sin ( x ^{2} )}) = - \infty

= diverges

\int_{2}^{8} x^{3} ln (2 x) d x

\frac{d}{d x} (\frac{2}{5} \cdot ln (x))

(3 + 3 y + 3 y^{2}) d x + (x + 2 x y) d y = 0

4 4 - y

\frac{\partial}{\partial w} (4 x^{3} - x y^{2} + 3 y - 7)

What is the limit as x approaches 0 of x/(sin(x^2)) ?
The limit as x approaches 0 of x/(sin(x^2)) is diverges