What is the limit as x approaches a of ((sin(x))/(sin(a)))^{1/(x+a)} ?

The limit as x approaches a of ((sin(x))/(sin(a)))^{1/(x+a)} is 1

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limit as x approaches a of ((sin(x))/(sin(a)))^{1/(x+a)}

x \to a lim ((\frac{sin ( x )}{sin ( a )})^{\frac{1}{x + a}})

1

Solution steps

x \to a lim ((\frac{sin ( x )}{sin ( a )})^{\frac{1}{x + a}})

Plug in the value

x = a

= (\frac{sin ( a )}{sin ( a )})^{\frac{1}{a + a}}

Simplify

= 1

\int \frac{2 x + 1}{3 x ^{2} + 3 x + 4} d x

3 x + 3, 4 x + 4, - 1, 3

\frac{\partial}{\partial x} (ln (2 x y + 4))

\frac{\partial}{\partial y} (arctan (x + 6 y))

y = x^{2} + 3

What is the limit as x approaches a of ((sin(x))/(sin(a)))^{1/(x+a)} ?
The limit as x approaches a of ((sin(x))/(sin(a)))^{1/(x+a)} is 1