Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (4+x^2-5*x)/(-16+x^2)
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Limit of (5-5*x)/(-1+sqrt(x))
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Limit of (-18+x^2-3*x)/(-36+x^2)
- Limit of (-tan(a)+tan(x))/(x-a)
- Integral of d{x}:
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6^x
- Derivative of:
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6^x
- Graphing y =:
- 6^x
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Identical expressions
- six ^x
- 6 to the power of x
- six to the power of x
- 6x
Limit of the function 6^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
$$\lim_{x \to \infty} 6^{x} = \infty$$
$$\lim_{x \to 0^-} 6^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 6^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 6^{x} = 6$$
More at x→1 from the left
$$\lim_{x \to 1^+} 6^{x} = 6$$
More at x→1 from the right
$$\lim_{x \to -\infty} 6^{x} = 0$$
More at x→-oo
$$\lim_{x \to 0^-} 6^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 6^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 6^{x} = 6$$
More at x→1 from the left
$$\lim_{x \to 1^+} 6^{x} = 6$$
More at x→1 from the right
$$\lim_{x \to -\infty} 6^{x} = 0$$
More at x→-oo
The graph