What is the limit as x approaches 0 of (7x)/(cot(x)) ?

The limit as x approaches 0 of (7x)/(cot(x)) is 0

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limit as x approaches 0 of (7x)/(cot(x))

x \to 0 lim (\frac{7 x}{cot ( x )})

0

Solution steps

x \to 0 lim (\frac{7 x}{cot ( x )})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 7 \cdot x \to 0 lim (\frac{x}{cot ( x )})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= 7 \cdot \frac{lim _{x \to 0} ( x )}{lim _{x \to 0} ( cot ( x ) )}

x \to 0 lim (x) = 0

x \to 0 lim (cot (x)) = \infty

= 7 \cdot \frac{0}{\infty}

Simplify

7 \cdot \frac{0}{\infty} : 0

= 0

\frac{\partial}{\partial s} (s sin (t))

\frac{d}{d x} (\frac{x ^{3} - 2 x x}{x})

(0, - 9), (7, 6)

f (x) = x (x^{2} - 4 x + 5)^{5}, at x = 2

What is the limit as x approaches 0 of (7x)/(cot(x)) ?
The limit as x approaches 0 of (7x)/(cot(x)) is 0