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4*e^x
Limit of the function/ 4*e^x

Limit of the function 4*e^x

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The solution

You have entered [src] 
     /   x\
 lim \4*E /
x->4+
lim⁡x→4+(4ex)\lim_{x \to 4^+}\left(4 e^{x}\right) 
Limit(4*E^x, x, 4)
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
80246-8-6-4-2020000
Plot the graph
One‐sided limits [src] 
     /   x\
 lim \4*E /
x->4+
lim⁡x→4+(4ex)\lim_{x \to 4^+}\left(4 e^{x}\right) 
   4
4*e
4e44 e^{4} 
= 218.392600132577
     /   x\
 lim \4*E /
x->4-
lim⁡x→4−(4ex)\lim_{x \to 4^-}\left(4 e^{x}\right) 
   4
4*e
4e44 e^{4} 
= 218.392600132577
= 218.392600132577
Rapid solution [src] 
   4
4*e
4e44 e^{4}
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→4−(4ex)=4e4\lim_{x \to 4^-}\left(4 e^{x}\right) = 4 e^{4}
More at x→4 from the left
lim⁡x→4+(4ex)=4e4\lim_{x \to 4^+}\left(4 e^{x}\right) = 4 e^{4}
lim⁡x→∞(4ex)=∞\lim_{x \to \infty}\left(4 e^{x}\right) = \infty
More at x→oo
lim⁡x→0−(4ex)=4\lim_{x \to 0^-}\left(4 e^{x}\right) = 4
More at x→0 from the left
lim⁡x→0+(4ex)=4\lim_{x \to 0^+}\left(4 e^{x}\right) = 4
More at x→0 from the right
lim⁡x→1−(4ex)=4e\lim_{x \to 1^-}\left(4 e^{x}\right) = 4 e
More at x→1 from the left
lim⁡x→1+(4ex)=4e\lim_{x \to 1^+}\left(4 e^{x}\right) = 4 e
More at x→1 from the right
lim⁡x→−∞(4ex)=0\lim_{x \to -\infty}\left(4 e^{x}\right) = 0
More at x→-oo
Numerical answer [src] 
218.392600132577
218.392600132577
The graph
Limit of the function 4*e^x
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