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

Limit of the function 1/cos(x)

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You have entered [src] 
       1   
 lim ------
x->oocos(x)
lim⁡x→∞1cos⁡(x)\lim_{x \to \infty} \frac{1}{\cos{\left(x \right)}} 
Limit(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
The graph
02468-8-6-4-2-1010-5050
Plot the graph
Rapid solution [src] 
<-oo, oo>
⟨−∞,∞⟩\left\langle -\infty, \infty\right\rangle
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞1cos⁡(x)=⟨−∞,∞⟩\lim_{x \to \infty} \frac{1}{\cos{\left(x \right)}} = \left\langle -\infty, \infty\right\rangle
lim⁡x→0−1cos⁡(x)=1\lim_{x \to 0^-} \frac{1}{\cos{\left(x \right)}} = 1
More at x→0 from the left
lim⁡x→0+1cos⁡(x)=1\lim_{x \to 0^+} \frac{1}{\cos{\left(x \right)}} = 1
More at x→0 from the right
lim⁡x→1−1cos⁡(x)=1cos⁡(1)\lim_{x \to 1^-} \frac{1}{\cos{\left(x \right)}} = \frac{1}{\cos{\left(1 \right)}}
More at x→1 from the left
lim⁡x→1+1cos⁡(x)=1cos⁡(1)\lim_{x \to 1^+} \frac{1}{\cos{\left(x \right)}} = \frac{1}{\cos{\left(1 \right)}}
More at x→1 from the right
lim⁡x→−∞1cos⁡(x)=⟨−∞,∞⟩\lim_{x \to -\infty} \frac{1}{\cos{\left(x \right)}} = \left\langle -\infty, \infty\right\rangle
More at x→-oo
The graph
Limit of the function 1/cos(x)
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