Mister Exam

Limit of the function e*x

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Piecewise:

The solution

You have entered [src]
 lim (E*x)
x->0+     
limx0+(ex)\lim_{x \to 0^+}\left(e x\right)
Limit(E*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
02468-8-6-4-2-1010-5050
One‐sided limits [src]
 lim (E*x)
x->0+     
limx0+(ex)\lim_{x \to 0^+}\left(e x\right)
0
00
= 2.32586864602047e-32
 lim (E*x)
x->0-     
limx0(ex)\lim_{x \to 0^-}\left(e x\right)
0
00
= -2.32586864602047e-32
= -2.32586864602047e-32
Other limits x→0, -oo, +oo, 1
limx0(ex)=0\lim_{x \to 0^-}\left(e x\right) = 0
More at x→0 from the left
limx0+(ex)=0\lim_{x \to 0^+}\left(e x\right) = 0
limx(ex)=\lim_{x \to \infty}\left(e x\right) = \infty
More at x→oo
limx1(ex)=e\lim_{x \to 1^-}\left(e x\right) = e
More at x→1 from the left
limx1+(ex)=e\lim_{x \to 1^+}\left(e x\right) = e
More at x→1 from the right
limx(ex)=\lim_{x \to -\infty}\left(e x\right) = -\infty
More at x→-oo
Rapid solution [src]
0
00
Numerical answer [src]
2.32586864602047e-32
2.32586864602047e-32
The graph
Limit of the function e*x