Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-3*e^(4*x)-2*e^(-x)+5*e^(2*x))/(-4*sqrt(1+5*x)+4*cos(3*x)+5*sin(2*x))
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Limit of (2+x^2+3*x)/(2+2*x^2+5*x)
- Limit of (-1+x)*cot(pi*(-1+x))
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Limit of (9+x^10-10*x)/(-1+x)^2
- Integral of d{x}:
- 1/cos(2*x)
- Graphing y =:
- 1/cos(2*x)
- Derivative of:
- 1/cos(2*x)
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Identical expressions
- one /cos(two *x)
- 1 divide by co sinus of e of (2 multiply by x)
- one divide by co sinus of e of (two multiply by x)
- 1/cos(2x)
- 1/cos2x
- 1 divide by cos(2*x)
Limit of the function 1/cos(2*x)
The solution
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[src]
1 lim -------- x->0+cos(2*x)
$$\lim_{x \to 0^+} \frac{1}{\cos{\left(2 x \right)}}$$
Limit(1/cos(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
[src]
1 lim -------- x->0+cos(2*x)
$$\lim_{x \to 0^+} \frac{1}{\cos{\left(2 x \right)}}$$
1
$$1$$
= 1.0
1 lim -------- x->0-cos(2*x)
$$\lim_{x \to 0^-} \frac{1}{\cos{\left(2 x \right)}}$$
1
$$1$$
= 1.0
= 1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \frac{1}{\cos{\left(2 x \right)}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\cos{\left(2 x \right)}} = 1$$
$$\lim_{x \to \infty} \frac{1}{\cos{\left(2 x \right)}} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{\cos{\left(2 x \right)}} = \frac{1}{\cos{\left(2 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\cos{\left(2 x \right)}} = \frac{1}{\cos{\left(2 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\cos{\left(2 x \right)}} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\cos{\left(2 x \right)}} = 1$$
$$\lim_{x \to \infty} \frac{1}{\cos{\left(2 x \right)}} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{\cos{\left(2 x \right)}} = \frac{1}{\cos{\left(2 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\cos{\left(2 x \right)}} = \frac{1}{\cos{\left(2 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\cos{\left(2 x \right)}} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
The graph