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

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

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You have entered [src] 
     /  2 + x   \
 lim |----------|
x->oo\cos(2 + x)/
$$\lim_{x \to \infty}\left(\frac{x + 2}{\cos{\left(x + 2 \right)}}\right)$$ 
Limit((2 + x)/cos(2 + 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
The graph
Plot the graph
Rapid solution [src] 
     /  2 + x   \
 lim |----------|
x->oo\cos(2 + x)/
$$\lim_{x \to \infty}\left(\frac{x + 2}{\cos{\left(x + 2 \right)}}\right)$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{x + 2}{\cos{\left(x + 2 \right)}}\right)$$
$$\lim_{x \to 0^-}\left(\frac{x + 2}{\cos{\left(x + 2 \right)}}\right) = \frac{2}{\cos{\left(2 \right)}}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x + 2}{\cos{\left(x + 2 \right)}}\right) = \frac{2}{\cos{\left(2 \right)}}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x + 2}{\cos{\left(x + 2 \right)}}\right) = \frac{3}{\cos{\left(3 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x + 2}{\cos{\left(x + 2 \right)}}\right) = \frac{3}{\cos{\left(3 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x + 2}{\cos{\left(x + 2 \right)}}\right)$$
More at x→-oo
The graph
Limit of the function (2+x)/cos(2+x)
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