Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (-1+e^(2*x))/(3*x)
-
Limit of (-1+3*x)/(5+x^2+7*x)
-
Limit of 1+13*x/5
-
Limit of (7+x+x^2)/(-1+e^x)
- Integral of d{x}:
- y^x
- Canonical form:
- y^x
-
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