Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-12+x+x^2)/(-9+x^2)
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Limit of (2+x^2+3*x)/(3+x^2+4*x)
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Limit of -e^(-x)
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Limit of atan(x/2)
- Integral of d{x}:
- y^x
- Canonical form:
- y^x
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Identical expressions
- y^x
- y to the power of x
- yx
Limit of the function y^x
The solution
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} y^{x}$$
$$\lim_{x \to 0^-} y^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} y^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} y^{x} = y$$
More at x→1 from the left
$$\lim_{x \to 1^+} y^{x} = y$$
More at x→1 from the right
$$\lim_{x \to -\infty} y^{x}$$
More at x→-oo
$$\lim_{x \to 0^-} y^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} y^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} y^{x} = y$$
More at x→1 from the left
$$\lim_{x \to 1^+} y^{x} = y$$
More at x→1 from the right
$$\lim_{x \to -\infty} y^{x}$$
More at x→-oo