Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (2+n)/(1+n)
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Limit of (-1+e^(3*x)-3*x)/sin(2*x)^2
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Limit of (1+e^x)^(1/x)
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Limit of sqrt(1-x+4*x^2)-2*x
- Graphing y =:
- cos(3*x)
- Derivative of:
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cos(3*x)
- Integral of d{x}:
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cos(3*x)
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Identical expressions
- cos(three *x)
- co sinus of e of (3 multiply by x)
- co sinus of e of (three multiply by x)
- cos(3x)
- cos3x
Limit of the function cos(3*x)
The solution
You have entered
[src]
lim cos(3*x) x->pi+
$$\lim_{x \to \pi^+} \cos{\left(3 x \right)}$$
Limit(cos(3*x), x, pi)
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
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lim cos(3*x) x->pi+
$$\lim_{x \to \pi^+} \cos{\left(3 x \right)}$$
-1
$$-1$$
= -1.0
lim cos(3*x) x->pi-
$$\lim_{x \to \pi^-} \cos{\left(3 x \right)}$$
-1
$$-1$$
= -1.0
= -1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \pi^-} \cos{\left(3 x \right)} = -1$$
More at x→pi from the left
$$\lim_{x \to \pi^+} \cos{\left(3 x \right)} = -1$$
$$\lim_{x \to \infty} \cos{\left(3 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \cos{\left(3 x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cos{\left(3 x \right)} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \cos{\left(3 x \right)} = \cos{\left(3 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cos{\left(3 x \right)} = \cos{\left(3 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cos{\left(3 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
More at x→pi from the left
$$\lim_{x \to \pi^+} \cos{\left(3 x \right)} = -1$$
$$\lim_{x \to \infty} \cos{\left(3 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \cos{\left(3 x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cos{\left(3 x \right)} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \cos{\left(3 x \right)} = \cos{\left(3 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cos{\left(3 x \right)} = \cos{\left(3 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cos{\left(3 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
The graph