Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((1+3*x)/(2+3*x))^(5*x)
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Limit of (-3-7*x^4+2*x+2*x^5)/(-6-12*x^2+6*x^3)
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Limit of (x*(1/2+x))^x
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Limit of (2-sqrt(x))/(4-sqrt(2)*sqrt(x))
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Identical expressions
- x^z
- x to the power of z
- xz
Limit of the function x^z
The solution
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} x^{z}$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{z}$$
$$\lim_{x \to \infty} x^{z}$$
More at x→oo
$$\lim_{x \to 1^-} x^{z} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{z} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{z}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} x^{z}$$
$$\lim_{x \to \infty} x^{z}$$
More at x→oo
$$\lim_{x \to 1^-} x^{z} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{z} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{z}$$
More at x→-oo
One‐sided limits
[src]
z lim x x->0+
$$\lim_{x \to 0^+} x^{z}$$
z lim x x->0-
$$\lim_{x \to 0^-} x^{z}$$
Limit(x^z, x, 0, dir='-')