Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
-
Limit of (4+x^2)/(-6+2*x)
-
Limit of (-1+x^2)/(-2+x+x^2)
-
Limit of (-1+cos(7*x))/(-1+cos(3*x))
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Limit of (-4+2*x+8*x^2)/(6+4*x)
- Graphing y =:
- 1-sin(2*x)
- Derivative of:
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1-sin(2*x)
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Identical expressions
- one -sin(two *x)
- 1 minus sinus of (2 multiply by x)
- one minus sinus of (two multiply by x)
- 1-sin(2x)
- 1-sin2x
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Similar expressions
- 1+sin(2*x)
Limit of the function 1-sin(2*x)
The solution
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[src]
lim (1 - sin(2*x)) pi x->--+ 4
$$\lim_{x \to \frac{\pi}{4}^+}\left(1 - \sin{\left(2 x \right)}\right)$$
Limit(1 - sin(2*x), x, pi/4)
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
One‐sided limits
[src]
lim (1 - sin(2*x)) pi x->--+ 4
$$\lim_{x \to \frac{\pi}{4}^+}\left(1 - \sin{\left(2 x \right)}\right)$$
0
$$0$$
= 3.71571864451881e-31
lim (1 - sin(2*x)) pi x->--- 4
$$\lim_{x \to \frac{\pi}{4}^-}\left(1 - \sin{\left(2 x \right)}\right)$$
0
$$0$$
= 3.71571864451881e-31
= 3.71571864451881e-31
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\pi}{4}^-}\left(1 - \sin{\left(2 x \right)}\right) = 0$$
More at x→pi/4 from the left
$$\lim_{x \to \frac{\pi}{4}^+}\left(1 - \sin{\left(2 x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(1 - \sin{\left(2 x \right)}\right) = \left\langle 0, 2\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(1 - \sin{\left(2 x \right)}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(1 - \sin{\left(2 x \right)}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(1 - \sin{\left(2 x \right)}\right) = 1 - \sin{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(1 - \sin{\left(2 x \right)}\right) = 1 - \sin{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(1 - \sin{\left(2 x \right)}\right) = \left\langle 0, 2\right\rangle$$
More at x→-oo
More at x→pi/4 from the left
$$\lim_{x \to \frac{\pi}{4}^+}\left(1 - \sin{\left(2 x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(1 - \sin{\left(2 x \right)}\right) = \left\langle 0, 2\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(1 - \sin{\left(2 x \right)}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(1 - \sin{\left(2 x \right)}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(1 - \sin{\left(2 x \right)}\right) = 1 - \sin{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(1 - \sin{\left(2 x \right)}\right) = 1 - \sin{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(1 - \sin{\left(2 x \right)}\right) = \left\langle 0, 2\right\rangle$$
More at x→-oo
The graph