Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-log(1+x^2)+sin(x))/(2-e^(3*x)-sqrt(1+x))
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Limit of sin(2*x)/log(1+x)
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Limit of sin(21*x)/(3*x)
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Limit of (-2*sin(x)+sin(2*x))/x
- Graphing y =:
- 1+cos(3*x)
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Identical expressions
- one +cos(three *x)
- 1 plus co sinus of e of (3 multiply by x)
- one plus co sinus of e of (three multiply by x)
- 1+cos(3x)
- 1+cos3x
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Similar expressions
- 1-cos(3*x)
Limit of the function 1+cos(3*x)
The solution
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lim (1 + cos(3*x)) x->pi+
$$\lim_{x \to \pi^+}\left(\cos{\left(3 x \right)} + 1\right)$$
Limit(1 + 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 (1 + cos(3*x)) x->pi+
$$\lim_{x \to \pi^+}\left(\cos{\left(3 x \right)} + 1\right)$$
0
$$0$$
= -4.07664183432652e-31
lim (1 + cos(3*x)) x->pi-
$$\lim_{x \to \pi^-}\left(\cos{\left(3 x \right)} + 1\right)$$
0
$$0$$
= -4.0766418343265e-31
= -4.0766418343265e-31
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \pi^-}\left(\cos{\left(3 x \right)} + 1\right) = 0$$
More at x→pi from the left
$$\lim_{x \to \pi^+}\left(\cos{\left(3 x \right)} + 1\right) = 0$$
$$\lim_{x \to \infty}\left(\cos{\left(3 x \right)} + 1\right) = \left\langle 0, 2\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(\cos{\left(3 x \right)} + 1\right) = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\cos{\left(3 x \right)} + 1\right) = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\cos{\left(3 x \right)} + 1\right) = \cos{\left(3 \right)} + 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\cos{\left(3 x \right)} + 1\right) = \cos{\left(3 \right)} + 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\cos{\left(3 x \right)} + 1\right) = \left\langle 0, 2\right\rangle$$
More at x→-oo
More at x→pi from the left
$$\lim_{x \to \pi^+}\left(\cos{\left(3 x \right)} + 1\right) = 0$$
$$\lim_{x \to \infty}\left(\cos{\left(3 x \right)} + 1\right) = \left\langle 0, 2\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(\cos{\left(3 x \right)} + 1\right) = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\cos{\left(3 x \right)} + 1\right) = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\cos{\left(3 x \right)} + 1\right) = \cos{\left(3 \right)} + 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\cos{\left(3 x \right)} + 1\right) = \cos{\left(3 \right)} + 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\cos{\left(3 x \right)} + 1\right) = \left\langle 0, 2\right\rangle$$
More at x→-oo
The graph