Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (4-x^2)/(3-x^2)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of 5-9*x+3*x^2/2
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Limit of (-16+x^2)/(-64+x^3)
- Derivative of:
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9^x
- Integral of d{x}:
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9^x
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Identical expressions
- nine ^x
- 9 to the power of x
- nine to the power of x
- 9x
Limit of the function 9^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
$$\lim_{x \to -\infty} 9^{x} = 0$$
$$\lim_{x \to \infty} 9^{x} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} 9^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 9^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 9^{x} = 9$$
More at x→1 from the left
$$\lim_{x \to 1^+} 9^{x} = 9$$
More at x→1 from the right
$$\lim_{x \to \infty} 9^{x} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} 9^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 9^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 9^{x} = 9$$
More at x→1 from the left
$$\lim_{x \to 1^+} 9^{x} = 9$$
More at x→1 from the right
The graph