Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((1+2*x)/(-1+3*x))^(-1+x)
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Limit of (1-cos(x))^x
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Limit of 1/(2*x^2)
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Limit of x^4
- Graphing y =:
- x^4
- Derivative of:
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x^4
- Integral of d{x}:
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x^4
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Identical expressions
- x^ four
- x to the power of 4
- x to the power of four
- x4
- x⁴
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Similar expressions
- x+2*x^3+5*x^4-x^2/3
- x^4*cosh(1/x)
- x^4-2*x^2
- sin(x)^4/x^4
- 3/x^4
Limit of the function x^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
One‐sided limits
[src]
4 lim x x->2+
$$\lim_{x \to 2^+} x^{4}$$
16
$$16$$
= 16.0
4 lim x x->2-
$$\lim_{x \to 2^-} x^{4}$$
16
$$16$$
= 16.0
= 16.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 2^-} x^{4} = 16$$
More at x→2 from the left
$$\lim_{x \to 2^+} x^{4} = 16$$
$$\lim_{x \to \infty} x^{4} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} x^{4} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{4} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{4} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{4} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{4} = \infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+} x^{4} = 16$$
$$\lim_{x \to \infty} x^{4} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} x^{4} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{4} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{4} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{4} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{4} = \infty$$
More at x→-oo
The graph