Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (-1+e^x)/sin(x)
-
Limit of ((-1+x)/(4+x))^(2+3*x)
-
Limit of (1+n)/(2+n)
-
Limit of (3+2*x)/(1+5*x)
- Sum of series:
-
e^2
- Derivative of:
-
e^2
- Integral of d{x}:
-
e^2
-
Identical expressions
- e^ two
- e squared
- e to the power of two
- e2
- e²
- e to the power of 2
-
Similar expressions
- (e^(4*x)-e^(2*x))/x
- (x/3+e^(2*x)/3)^coth(x)
- x*sin(x)/(-1+e^(2*x))
- atan(4*x)/(-1+e^(2*x))
- e^(2+2*x)
Limit of the function e^2
The solution
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} e^{2} = e^{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{2} = e^{2}$$
$$\lim_{x \to \infty} e^{2} = e^{2}$$
More at x→oo
$$\lim_{x \to 1^-} e^{2} = e^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{2} = e^{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{2} = e^{2}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} e^{2} = e^{2}$$
$$\lim_{x \to \infty} e^{2} = e^{2}$$
More at x→oo
$$\lim_{x \to 1^-} e^{2} = e^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{2} = e^{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{2} = e^{2}$$
More at x→-oo
One‐sided limits
[src]
2 lim E x->0+
$$\lim_{x \to 0^+} e^{2}$$
2 e
$$e^{2}$$
= 7.38905609893065
2 lim E x->0-
$$\lim_{x \to 0^-} e^{2}$$
2 e
$$e^{2}$$
= 7.38905609893065
= 7.38905609893065
The graph