Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of cot(x)/(pi-2*x)
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Limit of csc(x)
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Limit of sin(1/z)
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Limit of 8/x
- Derivative of:
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z^4
- z^4
- Graphing y =:
- z^4
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Identical expressions
- z^ four
- z to the power of 4
- z to the power of four
- z4
- z⁴
Limit of the function z^4
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 z→0, -oo, +oo, 1
$$\lim_{z \to -1^-} z^{4} = 1$$
More at z→-1 from the left
$$\lim_{z \to -1^+} z^{4} = 1$$
$$\lim_{z \to \infty} z^{4} = \infty$$
More at z→oo
$$\lim_{z \to 0^-} z^{4} = 0$$
More at z→0 from the left
$$\lim_{z \to 0^+} z^{4} = 0$$
More at z→0 from the right
$$\lim_{z \to 1^-} z^{4} = 1$$
More at z→1 from the left
$$\lim_{z \to 1^+} z^{4} = 1$$
More at z→1 from the right
$$\lim_{z \to -\infty} z^{4} = \infty$$
More at z→-oo
More at z→-1 from the left
$$\lim_{z \to -1^+} z^{4} = 1$$
$$\lim_{z \to \infty} z^{4} = \infty$$
More at z→oo
$$\lim_{z \to 0^-} z^{4} = 0$$
More at z→0 from the left
$$\lim_{z \to 0^+} z^{4} = 0$$
More at z→0 from the right
$$\lim_{z \to 1^-} z^{4} = 1$$
More at z→1 from the left
$$\lim_{z \to 1^+} z^{4} = 1$$
More at z→1 from the right
$$\lim_{z \to -\infty} z^{4} = \infty$$
More at z→-oo
One‐sided limits
[src]
4 lim z z->-1+
$$\lim_{z \to -1^+} z^{4}$$
1
$$1$$
= 1.0
4 lim z z->-1-
$$\lim_{z \to -1^-} z^{4}$$
1
$$1$$
= 1.0
= 1.0
The graph