Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (-2*x^2+4*x^3+5*x)/(3*x^2+7*x)
-
Limit of (1-3*x^2+2*x^3)/(x^3+2*x+4*x^2)
-
Limit of 5+3*n
-
Limit of (1-cos(4*x))/(5*x)
-
Identical expressions
- nine - four *e^x
- 9 minus 4 multiply by e to the power of x
- nine minus four multiply by e to the power of x
- 9-4*ex
- 9-4e^x
- 9-4ex
-
Similar expressions
- 9+4*e^x
Limit of the function 9-4*e^x
The solution
You have entered
[src]
/ x\ lim \9 - 4*E / x->0+
$$\lim_{x \to 0^+}\left(9 - 4 e^{x}\right)$$
Limit(9 - 4*exp(x), x, 0)
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
One‐sided limits
[src]
/ x\ lim \9 - 4*E / x->0+
$$\lim_{x \to 0^+}\left(9 - 4 e^{x}\right)$$
5
$$5$$
= 5.0
/ x\ lim \9 - 4*E / x->0-
$$\lim_{x \to 0^-}\left(9 - 4 e^{x}\right)$$
5
$$5$$
= 5.0
= 5.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(9 - 4 e^{x}\right) = 5$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(9 - 4 e^{x}\right) = 5$$
$$\lim_{x \to \infty}\left(9 - 4 e^{x}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(9 - 4 e^{x}\right) = 9 - 4 e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(9 - 4 e^{x}\right) = 9 - 4 e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(9 - 4 e^{x}\right) = 9$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(9 - 4 e^{x}\right) = 5$$
$$\lim_{x \to \infty}\left(9 - 4 e^{x}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(9 - 4 e^{x}\right) = 9 - 4 e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(9 - 4 e^{x}\right) = 9 - 4 e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(9 - 4 e^{x}\right) = 9$$
More at x→-oo
The graph