Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-3+sqrt(5+x))/(-4+x)
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Limit of sin(5*x)
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Limit of sec(2*x)
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Limit of cosh(n)/cosh(1+n)
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Identical expressions
- sec(two *x)
- sec(2 multiply by x)
- sec(two multiply by x)
- sec(2x)
- sec2x
Limit of the function sec(2*x)
The solution
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lim sec(2*x) x->0+
$$\lim_{x \to 0^+} \sec{\left(2 x \right)}$$
Limit(sec(2*x), 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
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lim sec(2*x) x->0+
$$\lim_{x \to 0^+} \sec{\left(2 x \right)}$$
1
$$1$$
= 1
lim sec(2*x) x->0-
$$\lim_{x \to 0^-} \sec{\left(2 x \right)}$$
1
$$1$$
= 1
= 1
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sec{\left(2 x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sec{\left(2 x \right)} = 1$$
$$\lim_{x \to \infty} \sec{\left(2 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sec{\left(2 x \right)} = \sec{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sec{\left(2 x \right)} = \sec{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sec{\left(2 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sec{\left(2 x \right)} = 1$$
$$\lim_{x \to \infty} \sec{\left(2 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sec{\left(2 x \right)} = \sec{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sec{\left(2 x \right)} = \sec{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sec{\left(2 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
The graph