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3*cos(x)

Limit of the function 3*cos(x)

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The solution

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 lim (3*cos(x))
x->0+          
limx0+(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
Rapid solution [src]
3
33
One‐sided limits [src]
 lim (3*cos(x))
x->0+          
limx0+(3cos(x))\lim_{x \to 0^+}\left(3 \cos{\left(x \right)}\right)
3
33
= 3.0
 lim (3*cos(x))
x->0-          
limx0(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
limx0(3cos(x))=3\lim_{x \to 0^-}\left(3 \cos{\left(x \right)}\right) = 3
More at x→0 from the left
limx0+(3cos(x))=3\lim_{x \to 0^+}\left(3 \cos{\left(x \right)}\right) = 3
limx(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
limx1(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
limx1+(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
limx(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)