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e^(2+x)

Limit of the function e^(2+x)

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The solution

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      2 + x
 lim E     
x->oo      
$$\lim_{x \to \infty} e^{x + 2}$$
Limit(E^(2 + x), x, oo, dir='-')
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
Rapid solution [src]
oo
$$\infty$$
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} e^{x + 2} = \infty$$
$$\lim_{x \to 0^-} e^{x + 2} = e^{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{x + 2} = e^{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{x + 2} = e^{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{x + 2} = e^{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{x + 2} = 0$$
More at x→-oo
The graph
Limit of the function e^(2+x)