Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2+x)/(-2+x^2-x)
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Limit of cos(5*x)*sin(2*x)/tan(x)
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Limit of 3*sin(x)^2/(4*x)
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Limit of log(1+e^x)
- Derivative of:
- a^x
- Integral of d{x}:
- a^x
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Identical expressions
- a^x
- a to the power of x
- ax
Limit of the function a^x
The solution
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} a^{x}$$
$$\lim_{x \to 0^-} a^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} a^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} a^{x} = a$$
More at x→1 from the left
$$\lim_{x \to 1^+} a^{x} = a$$
More at x→1 from the right
$$\lim_{x \to -\infty} a^{x}$$
More at x→-oo
$$\lim_{x \to 0^-} a^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} a^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} a^{x} = a$$
More at x→1 from the left
$$\lim_{x \to 1^+} a^{x} = a$$
More at x→1 from the right
$$\lim_{x \to -\infty} a^{x}$$
More at x→-oo