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+6*x
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Limit of ((-2+x)/x)^(2*x)
-
Limit of (2+x^2-3*x)/(4+x^2-5*x)
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Limit of (-15+x^2-2*x)/(-15-7*x+2*x^2)
- Graphing y =:
- z^3*sin(1/z)
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Identical expressions
- z^ three *sin(one /z)
- z cubed multiply by sinus of (1 divide by z)
- z to the power of three multiply by sinus of (one divide by z)
- z3*sin(1/z)
- z3*sin1/z
- z³*sin(1/z)
- z to the power of 3*sin(1/z)
- z^3sin(1/z)
- z3sin(1/z)
- z3sin1/z
- z^3sin1/z
- z^3*sin(1 divide by z)
Limit of the function z^3*sin(1/z)
The solution
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/ 3 /1\\ lim |z *sin|-|| z->oo\ \z//
$$\lim_{z \to \infty}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right)$$
Limit(z^3*sin(1/z), z, oo, dir='-')
The graph
Other limits z→0, -oo, +oo, 1
$$\lim_{z \to \infty}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = \infty$$
$$\lim_{z \to 0^-}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = 0$$
More at z→0 from the left
$$\lim_{z \to 0^+}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = 0$$
More at z→0 from the right
$$\lim_{z \to 1^-}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = \sin{\left(1 \right)}$$
More at z→1 from the left
$$\lim_{z \to 1^+}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = \sin{\left(1 \right)}$$
More at z→1 from the right
$$\lim_{z \to -\infty}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = \infty$$
More at z→-oo
$$\lim_{z \to 0^-}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = 0$$
More at z→0 from the left
$$\lim_{z \to 0^+}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = 0$$
More at z→0 from the right
$$\lim_{z \to 1^-}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = \sin{\left(1 \right)}$$
More at z→1 from the left
$$\lim_{z \to 1^+}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = \sin{\left(1 \right)}$$
More at z→1 from the right
$$\lim_{z \to -\infty}\left(z^{3} \sin{\left(\frac{1}{z} \right)}\right) = \infty$$
More at z→-oo
The graph