Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sin(5*x)
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Limit of log(1+x)
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Limit of (x-3*x^2+4*x^3)/(2*x)
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Limit of log(sin(x))/log(sin(2*x))
- Graphing y =:
- sin(5*x)
- Integral of d{x}:
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sin(5*x)
- Derivative of:
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sin(5*x)
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Identical expressions
- sin(five *x)
- sinus of (5 multiply by x)
- sinus of (five multiply by x)
- sin(5x)
- sin5x
Limit of the function sin(5*x)
The solution
You have entered
[src]
lim sin(5*x) x->0+
$$\lim_{x \to 0^+} \sin{\left(5 x \right)}$$
Limit(sin(5*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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sin{\left(5 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(5 x \right)} = 0$$
$$\lim_{x \to \infty} \sin{\left(5 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(5 x \right)} = \sin{\left(5 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(5 x \right)} = \sin{\left(5 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(5 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(5 x \right)} = 0$$
$$\lim_{x \to \infty} \sin{\left(5 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sin{\left(5 x \right)} = \sin{\left(5 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(5 x \right)} = \sin{\left(5 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(5 x \right)} = \left\langle -1, 1\right\rangle$$
More at x→-oo
One‐sided limits
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lim sin(5*x) x->0+
$$\lim_{x \to 0^+} \sin{\left(5 x \right)}$$
0
$$0$$
= -1.57784879884055e-29
lim sin(5*x) x->0-
$$\lim_{x \to 0^-} \sin{\left(5 x \right)}$$
0
$$0$$
= 1.57784879884055e-29
= 1.57784879884055e-29
The graph