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

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

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You have entered [src] 
      /   x   \
 lim  |-------|
x->-oo|   2   |
      \cos (x)/
lim⁡x→−∞(xcos⁡2(x))\lim_{x \to -\infty}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) 
Limit(x/cos(x)^2, x, -oo)
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
02468-8-6-4-2-1010-1000010000
Plot the graph
Rapid solution [src] 
      /   x   \
 lim  |-------|
x->-oo|   2   |
      \cos (x)/
lim⁡x→−∞(xcos⁡2(x))\lim_{x \to -\infty}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right)
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→−∞(xcos⁡2(x))\lim_{x \to -\infty}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right)
lim⁡x→∞(xcos⁡2(x))\lim_{x \to \infty}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right)
More at x→oo
lim⁡x→0−(xcos⁡2(x))=0\lim_{x \to 0^-}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = 0
More at x→0 from the left
lim⁡x→0+(xcos⁡2(x))=0\lim_{x \to 0^+}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = 0
More at x→0 from the right
lim⁡x→1−(xcos⁡2(x))=1cos⁡2(1)\lim_{x \to 1^-}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = \frac{1}{\cos^{2}{\left(1 \right)}}
More at x→1 from the left
lim⁡x→1+(xcos⁡2(x))=1cos⁡2(1)\lim_{x \to 1^+}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = \frac{1}{\cos^{2}{\left(1 \right)}}
More at x→1 from the right
The graph
Limit of the function x/cos(x)^2
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