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

The limit as x approaches 0 of (cot(7x))/(csc(7x)) is 1

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

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

1

Solution steps

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

Express with sin, cos

= x \to 0 lim (cos (7 x))

Plug in the value

x = 0

= cos (7 \cdot 0)

Simplify

cos (7 \cdot 0) : 1

= 1

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\frac{\partial}{\partial x} (ln (x + 4 y))

What is the limit as x approaches 0 of (cot(7x))/(csc(7x)) ?
The limit as x approaches 0 of (cot(7x))/(csc(7x)) is 1