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sin(7*x)
Limit of the function/ sin(7*x)

Limit of the function sin(7*x)

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The solution

You have entered [src] 
 lim sin(7*x)
x->0+
lim⁡x→0+sin⁡(7x)\lim_{x \to 0^+} \sin{\left(7 x \right)} 
Limit(sin(7*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
02468-8-6-4-2-10102-2
Plot the graph
Rapid solution [src] 
0
00
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−sin⁡(7x)=0\lim_{x \to 0^-} \sin{\left(7 x \right)} = 0
More at x→0 from the left
lim⁡x→0+sin⁡(7x)=0\lim_{x \to 0^+} \sin{\left(7 x \right)} = 0
lim⁡x→∞sin⁡(7x)=⟨−1,1⟩\lim_{x \to \infty} \sin{\left(7 x \right)} = \left\langle -1, 1\right\rangle
More at x→oo
lim⁡x→1−sin⁡(7x)=sin⁡(7)\lim_{x \to 1^-} \sin{\left(7 x \right)} = \sin{\left(7 \right)}
More at x→1 from the left
lim⁡x→1+sin⁡(7x)=sin⁡(7)\lim_{x \to 1^+} \sin{\left(7 x \right)} = \sin{\left(7 \right)}
More at x→1 from the right
lim⁡x→−∞sin⁡(7x)=⟨−1,1⟩\lim_{x \to -\infty} \sin{\left(7 x \right)} = \left\langle -1, 1\right\rangle
More at x→-oo
One‐sided limits [src] 
 lim sin(7*x)
x->0+
lim⁡x→0+sin⁡(7x)\lim_{x \to 0^+} \sin{\left(7 x \right)} 
0
00 
= -1.92596394807919e-28
 lim sin(7*x)
x->0-
lim⁡x→0−sin⁡(7x)\lim_{x \to 0^-} \sin{\left(7 x \right)} 
0
00 
= 1.92596394807919e-28
= 1.92596394807919e-28
Numerical answer [src] 
-1.92596394807919e-28
-1.92596394807919e-28
The graph
Limit of the function sin(7*x)
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