Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-3+x^2-2*x)/(-3+x)
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Limit of 5^x-cos(x)
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Limit of (x/2)^(1/(-2+x))
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Limit of (1-3/x)^x
- Derivative of:
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sin(4*x)
- Graphing y =:
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sin(4*x)
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Identical expressions
- sin(four *x)
- sinus of (4 multiply by x)
- sinus of (four multiply by x)
- sin(4x)
- sin4x
Limit of the function sin(4*x)
The solution
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[src]
lim sin(4*x) x->0+
$$\lim_{x \to 0^+} \sin{\left(4 x \right)}$$
Limit(sin(4*x), x, 0)
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 sin(4*x) x->0+
$$\lim_{x \to 0^+} \sin{\left(4 x \right)}$$
0
$$0$$
= 2.57218933233653e-30
lim sin(4*x) x->0-
$$\lim_{x \to 0^-} \sin{\left(4 x \right)}$$
0
$$0$$
= -2.57218933233653e-30
= -2.57218933233653e-30
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sin{\left(4 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(4 x \right)} = 0$$
$$\lim_{x \to \infty} \sin{\left(4 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(4 x \right)} = \sin{\left(4 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(4 x \right)} = \sin{\left(4 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(4 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(4 x \right)} = 0$$
$$\lim_{x \to \infty} \sin{\left(4 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(4 x \right)} = \sin{\left(4 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(4 x \right)} = \sin{\left(4 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(4 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
The graph