Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (x/(1+x))^(1/3)
-
Limit of (3+sqrt(x)-sqrt(3))/x
-
Limit of sin(-1+x)/(-1+x)^2
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Limit of tan(9*x)/(5*x)
- Derivative of:
- (7+2*cos(x))*sin(x)
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Identical expressions
- (seven + two *cos(x))*sin(x)
- (7 plus 2 multiply by co sinus of e of (x)) multiply by sinus of (x)
- (seven plus two multiply by co sinus of e of (x)) multiply by sinus of (x)
- (7+2cos(x))sin(x)
- 7+2cosxsinx
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Similar expressions
- (7-2*cos(x))*sin(x)
- (7+2*cosx)*sinx
Limit of the function (7+2*cos(x))*sin(x)
The solution
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lim ((7 + 2*cos(x))*sin(x)) x->-oo
$$\lim_{x \to -\infty}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right)$$
Limit((7 + 2*cos(x))*sin(x), x, -oo)
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
The graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -\infty}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = \left\langle -9, 9\right\rangle$$
$$\lim_{x \to \infty}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = \left\langle -9, 9\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = 2 \sin{\left(1 \right)} \cos{\left(1 \right)} + 7 \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = 2 \sin{\left(1 \right)} \cos{\left(1 \right)} + 7 \sin{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to \infty}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = \left\langle -9, 9\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = 2 \sin{\left(1 \right)} \cos{\left(1 \right)} + 7 \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\left(2 \cos{\left(x \right)} + 7\right) \sin{\left(x \right)}\right) = 2 \sin{\left(1 \right)} \cos{\left(1 \right)} + 7 \sin{\left(1 \right)}$$
More at x→1 from the right
The graph