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sin(5*x)

Limite d'une fonction sin(5*x)

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Fonction définie par morceaux:

Solution

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 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
One‐sided limits [src]
 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
Rapid solution [src]
0
$$0$$
Numerical answer [src]
-1.57784879884055e-29
-1.57784879884055e-29
Graphique
Limite d'une fonction sin(5*x)