Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
-
Limit of (-2+x)/(-2+x^2-x)
-
Limit of cos(5*x)*sin(2*x)/tan(x)
-
Limit of 3*sin(x)^2/(4*x)
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Limit of log(1+e^x)
- Derivative of:
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sin(8*x)
- Graphing y =:
- sin(8*x)
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Identical expressions
- sin(eight *x)
- sinus of (8 multiply by x)
- sinus of (eight multiply by x)
- sin(8x)
- sin8x
Limit of the function sin(8*x)
The solution
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[src]
lim sin(8*x) x->0+
$$\lim_{x \to 0^+} \sin{\left(8 x \right)}$$
Limit(sin(8*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(8*x) x->0+
$$\lim_{x \to 0^+} \sin{\left(8 x \right)}$$
0
$$0$$
= -2.23410794881825e-28
lim sin(8*x) x->0-
$$\lim_{x \to 0^-} \sin{\left(8 x \right)}$$
0
$$0$$
= 2.23410794881825e-28
= 2.23410794881825e-28
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sin{\left(8 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(8 x \right)} = 0$$
$$\lim_{x \to \infty} \sin{\left(8 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(8 x \right)} = \sin{\left(8 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(8 x \right)} = \sin{\left(8 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(8 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(8 x \right)} = 0$$
$$\lim_{x \to \infty} \sin{\left(8 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(8 x \right)} = \sin{\left(8 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(8 x \right)} = \sin{\left(8 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(8 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
The graph