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