Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (3+2*n)/|-1+2*n|
-
Limit of (3+x^2-4*x)/(-9+x^2)
-
Limit of (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
- Integral of d{x}:
- e^(a*x)
- Derivative of:
- e^(a*x)
- Sum of series:
- e^(a*x)
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Identical expressions
- e^(a*x)
- e to the power of (a multiply by x)
- e(a*x)
- ea*x
- e^(ax)
- e(ax)
- eax
- e^ax
Limit of the function e^(a*x)
The solution
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a*x lim E x->oo
$$\lim_{x \to \infty} e^{a x}$$
Limit(E^(a*x), x, oo, dir='-')
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} e^{a x}$$
$$\lim_{x \to 0^-} e^{a x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{a x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{a x} = e^{a}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{a x} = e^{a}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{a x}$$
More at x→-oo
$$\lim_{x \to 0^-} e^{a x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{a x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{a x} = e^{a}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{a x} = e^{a}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{a x}$$
More at x→-oo