Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^(4/x)
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Limit of (-6+x^2-x)/(-4+x^2)
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Limit of (-6+x^2-x)/(-21+x+2*x^2)
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Limit of e^(3-x)*(-2+x)
- Graphing y =:
- (3/5)^x
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Identical expressions
- (three / five)^x
- (3 divide by 5) to the power of x
- (three divide by five) to the power of x
- (3/5)x
- 3/5x
- 3/5^x
- (3 divide by 5)^x
Limit of the function (3/5)^x
The solution
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x lim 3/5 x->oo
$$\lim_{x \to \infty} \left(\frac{3}{5}\right)^{x}$$
Limit((3/5)^x, x, oo, dir='-')
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
$$\lim_{x \to \infty} \left(\frac{3}{5}\right)^{x} = 0$$
$$\lim_{x \to 0^-} \left(\frac{3}{5}\right)^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \left(\frac{3}{5}\right)^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \left(\frac{3}{5}\right)^{x} = \frac{3}{5}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left(\frac{3}{5}\right)^{x} = \frac{3}{5}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \left(\frac{3}{5}\right)^{x} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} \left(\frac{3}{5}\right)^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \left(\frac{3}{5}\right)^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \left(\frac{3}{5}\right)^{x} = \frac{3}{5}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left(\frac{3}{5}\right)^{x} = \frac{3}{5}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \left(\frac{3}{5}\right)^{x} = \infty$$
More at x→-oo
The graph