Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^2*(1/3-cos(8*x)/3)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of (-1+sin(x))/cos(x)
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Limit of (-2*sin(x)+sin(2*x))/(x*log(cos(5*x)))
- Derivative of:
- i*n*sin(x)
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Identical expressions
- i*n*sin(x)
- i multiply by n multiply by sinus of (x)
- insin(x)
- insinx
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Similar expressions
- sin(sin(x))/x
- (-sin(sin(x))+tan(tan(x)))/(-sin(x)+tan(x))
- sin(sin(x))/(-1+sqrt(1+x))
- sin(sin(x))/sin(x)
- sin(sin(sin(x)))/x
- i*n*sinx
Limit of the function i*n*sin(x)
The solution
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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
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lim (I*n*sin(x)) pi x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(i n \sin{\left(x \right)}\right)$$
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
$$\lim_{x \to \frac{\pi}{2}^-}\left(i n \sin{\left(x \right)}\right) = i n$$
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(i n \sin{\left(x \right)}\right) = i n$$
$$\lim_{x \to \infty}\left(i n \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle i n$$
More at x→oo
$$\lim_{x \to 0^-}\left(i n \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(i n \sin{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(i n \sin{\left(x \right)}\right) = i n \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(i n \sin{\left(x \right)}\right) = i n \sin{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(i n \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle i n$$
More at x→-oo
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(i n \sin{\left(x \right)}\right) = i n$$
$$\lim_{x \to \infty}\left(i n \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle i n$$
More at x→oo
$$\lim_{x \to 0^-}\left(i n \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(i n \sin{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(i n \sin{\left(x \right)}\right) = i n \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(i n \sin{\left(x \right)}\right) = i n \sin{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(i n \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle i n$$
More at x→-oo