What is the limit as x approaches 0+of (6csc(x))/(cot(x)) ?

The limit as x approaches 0+of (6csc(x))/(cot(x)) is 6

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limit as x approaches 0+of (6csc(x))/(cot(x))

x \to 0 + lim (\frac{6 csc ( x )}{cot ( x )})

6

Solution steps

x \to 0 + lim (\frac{6 csc ( x )}{cot ( x )})

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

= 6 \cdot x \to 0 + lim (\frac{csc ( x )}{cot ( x )})

Simplify

\frac{csc ( x )}{cot ( x )} : sec (x)

= 6 \cdot x \to 0 + lim (sec (x))

Plug in the value

x = 0

= 6 sec (0)

Simplify

6 sec (0) : 6

= 6

x \to - 2 lim ((4 x + 7) (5 x + 9))

x \to \frac{2 π}{3} lim (\frac{cot ( x ) + \frac{3}{3}}{x - \frac{2 π}{3}})

y \to 2 lim (ln (sin (\frac{π}{y})))

x \to 0 + lim (2 ln (3 x))

x \to 1 + lim (x^{\frac{4}{( x - 1 )}})

What is the limit as x approaches 0+of (6csc(x))/(cot(x)) ?
The limit as x approaches 0+of (6csc(x))/(cot(x)) is 6