Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 7*tan(9*x/5)/x
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Limit of (-9+x^2)/(15+x^2-8*x)
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Limit of (2+x^2-3*x)/(3+x^2-4*x)
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Limit of (-5+2*x+3*x^4)/(7+x+2*x^2)
- Derivative of:
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3^x
- Integral of d{x}:
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3^x
- Graphing y =:
- 3^x
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Identical expressions
- three ^x
- 3 to the power of x
- three to the power of x
- 3x
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Similar expressions
- (-2+3^x+3^(-x))/x^2
- 3^x/(1+2^x)
- (3^x-x^3)/(-3+x)
- -1+3^x-2^(-x)
Limit of the function 3^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
One‐sided limits
[src]
x lim 3 x->1+
$$\lim_{x \to 1^+} 3^{x}$$
3
$$3$$
= 3.0
x lim 3 x->1-
$$\lim_{x \to 1^-} 3^{x}$$
3
$$3$$
= 3.0
= 3.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-} 3^{x} = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+} 3^{x} = 3$$
$$\lim_{x \to \infty} 3^{x} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} 3^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 3^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty} 3^{x} = 0$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} 3^{x} = 3$$
$$\lim_{x \to \infty} 3^{x} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} 3^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 3^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty} 3^{x} = 0$$
More at x→-oo
The graph