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

Limit of the function sec(x)^2

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        2   
 lim sec (x)
x->0+
lim⁡x→0+sec⁡2(x)\lim_{x \to 0^+} \sec^{2}{\left(x \right)} 
Limit(sec(x)^2, 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
02468-8-6-4-2-101001000
Plot the graph
One‐sided limits [src] 
        2   
 lim sec (x)
x->0+
lim⁡x→0+sec⁡2(x)\lim_{x \to 0^+} \sec^{2}{\left(x \right)} 
1
11 
= 1.0
        2   
 lim sec (x)
x->0-
lim⁡x→0−sec⁡2(x)\lim_{x \to 0^-} \sec^{2}{\left(x \right)} 
1
11 
= 1.0
= 1.0
Rapid solution [src] 
1
11
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−sec⁡2(x)=1\lim_{x \to 0^-} \sec^{2}{\left(x \right)} = 1
More at x→0 from the left
lim⁡x→0+sec⁡2(x)=1\lim_{x \to 0^+} \sec^{2}{\left(x \right)} = 1
lim⁡x→∞sec⁡2(x)\lim_{x \to \infty} \sec^{2}{\left(x \right)}
More at x→oo
lim⁡x→1−sec⁡2(x)=1cos⁡2(1)\lim_{x \to 1^-} \sec^{2}{\left(x \right)} = \frac{1}{\cos^{2}{\left(1 \right)}}
More at x→1 from the left
lim⁡x→1+sec⁡2(x)=1cos⁡2(1)\lim_{x \to 1^+} \sec^{2}{\left(x \right)} = \frac{1}{\cos^{2}{\left(1 \right)}}
More at x→1 from the right
lim⁡x→−∞sec⁡2(x)\lim_{x \to -\infty} \sec^{2}{\left(x \right)}
More at x→-oo
Numerical answer [src] 
1.0
1.0
The graph
Limit of the function sec(x)^2
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