Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (7+n)/(5+n)
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Limit of (9+3*x^2+4*x)/(7-7*x+3*x^2)
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Limit of -2+x^3+6*x
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Limit of -x+(-2+x)^4/(3+x)^4
- Sum of series:
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2^k
- Derivative of:
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2^k
- Inequation:
- 2^k
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Identical expressions
- two ^k
- 2 to the power of k
- two to the power of k
- 2k
Limit of the function 2^k
The solution
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
Other limits k→0, -oo, +oo, 1
$$\lim_{k \to \infty} 2^{k} = \infty$$
$$\lim_{k \to 0^-} 2^{k} = 1$$
More at k→0 from the left
$$\lim_{k \to 0^+} 2^{k} = 1$$
More at k→0 from the right
$$\lim_{k \to 1^-} 2^{k} = 2$$
More at k→1 from the left
$$\lim_{k \to 1^+} 2^{k} = 2$$
More at k→1 from the right
$$\lim_{k \to -\infty} 2^{k} = 0$$
More at k→-oo
$$\lim_{k \to 0^-} 2^{k} = 1$$
More at k→0 from the left
$$\lim_{k \to 0^+} 2^{k} = 1$$
More at k→0 from the right
$$\lim_{k \to 1^-} 2^{k} = 2$$
More at k→1 from the left
$$\lim_{k \to 1^+} 2^{k} = 2$$
More at k→1 from the right
$$\lim_{k \to -\infty} 2^{k} = 0$$
More at k→-oo
The graph