Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of (-tan(2*x)+sin(2*x))/x^3
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Limit of 3/n^4
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Limit of (1-cos(x)^2)/(x^2*sin(x)^2)
- Integral of d{x}:
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x^(-3/4)
- Graphing y =:
- x^(-3/4)
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Identical expressions
- x^(- three / four)
- x to the power of ( minus 3 divide by 4)
- x to the power of ( minus three divide by four)
- x(-3/4)
- x-3/4
- x^-3/4
- x^(-3 divide by 4)
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Similar expressions
- x^(3/4)
Limit of the function x^(-3/4)
The solution
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1
lim ----
x->oo 3/4
x
$$\lim_{x \to \infty} \frac{1}{x^{\frac{3}{4}}}$$
Limit(x^(-3/4), 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
$$\lim_{x \to \infty} \frac{1}{x^{\frac{3}{4}}} = 0$$
$$\lim_{x \to 0^-} \frac{1}{x^{\frac{3}{4}}} = - \infty \sqrt[4]{-1}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x^{\frac{3}{4}}} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{x^{\frac{3}{4}}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x^{\frac{3}{4}}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{x^{\frac{3}{4}}} = 0$$
More at x→-oo
$$\lim_{x \to 0^-} \frac{1}{x^{\frac{3}{4}}} = - \infty \sqrt[4]{-1}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x^{\frac{3}{4}}} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{x^{\frac{3}{4}}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x^{\frac{3}{4}}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{x^{\frac{3}{4}}} = 0$$
More at x→-oo
The graph