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3*cos(x)
Limit of the function/ 3*cos(x)

Limit of the function 3*cos(x)

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You have entered [src] 
 lim (3*cos(x))
x->0+
lim⁡x→0+(3cos⁡(x))\lim_{x \to 0^+}\left(3 \cos{\left(x \right)}\right) 
Limit(3*cos(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
02468-8-6-4-2-10105-5
Plot the graph
Rapid solution [src] 
3
33
Expand and simplify
One‐sided limits [src] 
 lim (3*cos(x))
x->0+
lim⁡x→0+(3cos⁡(x))\lim_{x \to 0^+}\left(3 \cos{\left(x \right)}\right) 
3
33 
= 3.0
 lim (3*cos(x))
x->0-
lim⁡x→0−(3cos⁡(x))\lim_{x \to 0^-}\left(3 \cos{\left(x \right)}\right) 
3
33 
= 3.0
= 3.0
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(3cos⁡(x))=3\lim_{x \to 0^-}\left(3 \cos{\left(x \right)}\right) = 3
More at x→0 from the left
lim⁡x→0+(3cos⁡(x))=3\lim_{x \to 0^+}\left(3 \cos{\left(x \right)}\right) = 3
lim⁡x→∞(3cos⁡(x))=⟨−3,3⟩\lim_{x \to \infty}\left(3 \cos{\left(x \right)}\right) = \left\langle -3, 3\right\rangle
More at x→oo
lim⁡x→1−(3cos⁡(x))=3cos⁡(1)\lim_{x \to 1^-}\left(3 \cos{\left(x \right)}\right) = 3 \cos{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+(3cos⁡(x))=3cos⁡(1)\lim_{x \to 1^+}\left(3 \cos{\left(x \right)}\right) = 3 \cos{\left(1 \right)}
More at x→1 from the right
lim⁡x→−∞(3cos⁡(x))=⟨−3,3⟩\lim_{x \to -\infty}\left(3 \cos{\left(x \right)}\right) = \left\langle -3, 3\right\rangle
More at x→-oo
Numerical answer [src] 
3.0
3.0
The graph
Limit of the function 3*cos(x)
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