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2*cos(x)
Limit of the function/ 2*cos(x)

Limit of the function 2*cos(x)

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You have entered [src] 
 lim (2*cos(x))
x->0+
lim⁡x→0+(2cos⁡(x))\lim_{x \to 0^+}\left(2 \cos{\left(x \right)}\right) 
Limit(2*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] 
2
22
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(2cos⁡(x))=2\lim_{x \to 0^-}\left(2 \cos{\left(x \right)}\right) = 2
More at x→0 from the left
lim⁡x→0+(2cos⁡(x))=2\lim_{x \to 0^+}\left(2 \cos{\left(x \right)}\right) = 2
lim⁡x→∞(2cos⁡(x))=⟨−2,2⟩\lim_{x \to \infty}\left(2 \cos{\left(x \right)}\right) = \left\langle -2, 2\right\rangle
More at x→oo
lim⁡x→1−(2cos⁡(x))=2cos⁡(1)\lim_{x \to 1^-}\left(2 \cos{\left(x \right)}\right) = 2 \cos{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+(2cos⁡(x))=2cos⁡(1)\lim_{x \to 1^+}\left(2 \cos{\left(x \right)}\right) = 2 \cos{\left(1 \right)}
More at x→1 from the right
lim⁡x→−∞(2cos⁡(x))=⟨−2,2⟩\lim_{x \to -\infty}\left(2 \cos{\left(x \right)}\right) = \left\langle -2, 2\right\rangle
More at x→-oo
One‐sided limits [src] 
 lim (2*cos(x))
x->0+
lim⁡x→0+(2cos⁡(x))\lim_{x \to 0^+}\left(2 \cos{\left(x \right)}\right) 
2
22 
= 2.0
 lim (2*cos(x))
x->0-
lim⁡x→0−(2cos⁡(x))\lim_{x \to 0^-}\left(2 \cos{\left(x \right)}\right) 
2
22 
= 2.0
= 2.0
Numerical answer [src] 
2.0
2.0
The graph
Limit of the function 2*cos(x)
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