Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 7*tan(9*x/5)/x
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Limit of (2+x^2-3*x)/(3+x^2-4*x)
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Limit of -2+e^x-e^(-x)-sin(x)
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Limit of (2-7*x+3*x^2)/(2-5*x+2*x^2)
- Integral of d{x}:
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sec(x)^2
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Identical expressions
- sec(x)^ two
- sec(x) squared
- sec(x) to the power of two
- sec(x)2
- secx2
- sec(x)²
- sec(x) to the power of 2
- secx^2
Limit of the function sec(x)^2
The solution
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[src]
2 lim sec (x) x->0+
$$\lim_{x \to 0^+} \sec^{2}{\left(x \right)}$$
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
One‐sided limits
[src]
2 lim sec (x) x->0+
$$\lim_{x \to 0^+} \sec^{2}{\left(x \right)}$$
1
$$1$$
= 1.0
2 lim sec (x) x->0-
$$\lim_{x \to 0^-} \sec^{2}{\left(x \right)}$$
1
$$1$$
= 1.0
= 1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sec^{2}{\left(x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sec^{2}{\left(x \right)} = 1$$
$$\lim_{x \to \infty} \sec^{2}{\left(x \right)}$$
More at x→oo
$$\lim_{x \to 1^-} \sec^{2}{\left(x \right)} = \frac{1}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sec^{2}{\left(x \right)} = \frac{1}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sec^{2}{\left(x \right)}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sec^{2}{\left(x \right)} = 1$$
$$\lim_{x \to \infty} \sec^{2}{\left(x \right)}$$
More at x→oo
$$\lim_{x \to 1^-} \sec^{2}{\left(x \right)} = \frac{1}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sec^{2}{\left(x \right)} = \frac{1}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sec^{2}{\left(x \right)}$$
More at x→-oo
The graph