Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-4*x)^(1/x)
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Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
- Derivative of:
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8^x
- Integral of d{x}:
- 8^x
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Identical expressions
- eight ^x
- 8 to the power of x
- eight to the power of x
- 8x
Limit of the function 8^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
$$\lim_{x \to \infty} 8^{x} = \infty$$
$$\lim_{x \to 0^-} 8^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 8^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 8^{x} = 8$$
More at x→1 from the left
$$\lim_{x \to 1^+} 8^{x} = 8$$
More at x→1 from the right
$$\lim_{x \to -\infty} 8^{x} = 0$$
More at x→-oo
$$\lim_{x \to 0^-} 8^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 8^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 8^{x} = 8$$
More at x→1 from the left
$$\lim_{x \to 1^+} 8^{x} = 8$$
More at x→1 from the right
$$\lim_{x \to -\infty} 8^{x} = 0$$
More at x→-oo
The graph