Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5+3*x)/(-5+x)
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Limit of (-9+x^2)/(15+x^2-8*x)
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Limit of (-1+x)/log(x)
- Limit of (a+x^2-x*(1+a))/(x^3-a^3)
- Integral of d{x}:
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5^x
- Derivative of:
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5^x
- Graphing y =:
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5^x
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Identical expressions
- five ^x
- 5 to the power of x
- five to the power of x
- 5x
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Similar expressions
- (3/5)^x
- 7^(-x)*(5^x-3^x)
Limit of the function 5^x
The solution
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} 5^{x} = \infty$$
$$\lim_{x \to 0^-} 5^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 5^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 5^{x} = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+} 5^{x} = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty} 5^{x} = 0$$
More at x→-oo
$$\lim_{x \to 0^-} 5^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 5^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 5^{x} = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+} 5^{x} = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty} 5^{x} = 0$$
More at x→-oo
The graph