Limit of the function i*n*sin(x)

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 lim  (I*n*sin(x))
   pi             
x->--+            
   2

\lim_{x \to \frac{\pi}{2}^+}\left(i n \sin{\left(x \right)}\right)

Limit((i*n)*sin(x), x, pi/2)

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

One‐sided limits [src]

 lim  (I*n*sin(x))
   pi             
x->--+            
   2

\lim_{x \to \frac{\pi}{2}^+}\left(i n \sin{\left(x \right)}\right)

I*n

i n

 lim  (I*n*sin(x))
   pi             
x->---            
   2

\lim_{x \to \frac{\pi}{2}^-}\left(i n \sin{\left(x \right)}\right)

I*n

i n

i*n

Other limits x→0, -oo, +oo, 1

\lim_{x \to \frac{\pi}{2}^-}\left(i n \sin{\left(x \right)}\right) = i n

\lim_{x \to \frac{\pi}{2}^+}\left(i n \sin{\left(x \right)}\right) = i n

\lim_{x \to \infty}\left(i n \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle i n

\lim_{x \to 0^-}\left(i n \sin{\left(x \right)}\right) = 0

\lim_{x \to 0^+}\left(i n \sin{\left(x \right)}\right) = 0

\lim_{x \to 1^-}\left(i n \sin{\left(x \right)}\right) = i n \sin{\left(1 \right)}

\lim_{x \to 1^+}\left(i n \sin{\left(x \right)}\right) = i n \sin{\left(1 \right)}

\lim_{x \to -\infty}\left(i n \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle i n

Rapid solution [src]

I*n

i n

Expand and simplify

Limit of the function insin(x)