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x/(1+cos(x))
Limit of the function/ x/(1+cos(x))

Limit of the function x/(1+cos(x))

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You have entered [src] 
     /    x     \
 lim |----------|
x->oo\1 + cos(x)/
$$\lim_{x \to \infty}\left(\frac{x}{\cos{\left(x \right)} + 1}\right)$$ 
Limit(x/(1 + cos(x)), x, oo, dir='-')
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
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Rapid solution [src] 
oo
$$\infty$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{x}{\cos{\left(x \right)} + 1}\right) = \infty$$
$$\lim_{x \to 0^-}\left(\frac{x}{\cos{\left(x \right)} + 1}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{\cos{\left(x \right)} + 1}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{\cos{\left(x \right)} + 1}\right) = \frac{1}{\cos{\left(1 \right)} + 1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{\cos{\left(x \right)} + 1}\right) = \frac{1}{\cos{\left(1 \right)} + 1}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x}{\cos{\left(x \right)} + 1}\right) = -\infty$$
More at x→-oo
The graph
Limit of the function x/(1+cos(x))
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