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5^x

Limit of the function 5^x

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The solution

You have entered [src]
      x
 lim 5 
x->oo  
limx5x\lim_{x \to \infty} 5^{x}
Limit(5^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
02468-8-6-4-2-1010010000000
Rapid solution [src]
oo
\infty
Other limits x→0, -oo, +oo, 1
limx5x=\lim_{x \to \infty} 5^{x} = \infty
limx05x=1\lim_{x \to 0^-} 5^{x} = 1
More at x→0 from the left
limx0+5x=1\lim_{x \to 0^+} 5^{x} = 1
More at x→0 from the right
limx15x=5\lim_{x \to 1^-} 5^{x} = 5
More at x→1 from the left
limx1+5x=5\lim_{x \to 1^+} 5^{x} = 5
More at x→1 from the right
limx5x=0\lim_{x \to -\infty} 5^{x} = 0
More at x→-oo
The graph
Limit of the function 5^x