Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-4*x)^(1/x)
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Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
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Identical expressions
- (cot(x)/ two)^(one /cos(x))
- ( cotangent of (x) divide by 2) to the power of (1 divide by co sinus of e of (x))
- ( cotangent of (x) divide by two) to the power of (one divide by co sinus of e of (x))
- (cot(x)/2)(1/cos(x))
- cotx/21/cosx
- cotx/2^1/cosx
- (cot(x) divide by 2)^(1 divide by cos(x))
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Similar expressions
- (cot(x)/2)^(1/cosx)
Limit of the function (cot(x)/2)^(1/cos(x))
The solution
You have entered
[src]
1
------
cos(x)
/cot(x)\
lim |------|
pi \ 2 /
x->--+
2
$$\lim_{x \to \frac{\pi}{2}^+} \left(\frac{\cot{\left(x \right)}}{2}\right)^{\frac{1}{\cos{\left(x \right)}}}$$
Limit((cot(x)/2)^(1/cos(x)), x, pi/2)
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]
1
------
cos(x)
/cot(x)\
lim |------|
pi \ 2 /
x->--+
2
$$\lim_{x \to \frac{\pi}{2}^+} \left(\frac{\cot{\left(x \right)}}{2}\right)^{\frac{1}{\cos{\left(x \right)}}}$$
oo
$$\infty$$
= (-1.56378958503566e-6 - 5.80704762752308e-6j)
1
------
cos(x)
/cot(x)\
lim |------|
pi \ 2 /
x->---
2
$$\lim_{x \to \frac{\pi}{2}^-} \left(\frac{\cot{\left(x \right)}}{2}\right)^{\frac{1}{\cos{\left(x \right)}}}$$
0
$$0$$
= 8.04967566078371e-35
= 8.04967566078371e-35
Numerical answer
[src]
(-1.56378958503566e-6 - 5.80704762752308e-6j)
(-1.56378958503566e-6 - 5.80704762752308e-6j)
The graph