Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 1-cos(3*x)
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Limit of ((6+5*x)/(-1+5*x))^((1+2*x^2)/x)
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Limit of (-3*5^(1+x)+5*2^x)/(2*5^x+100*2^x)
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Limit of (4^x-9^x)/(4^(1+x)+9^(1+x))
- Derivative of:
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x^3*cot(x)
- Graphing y =:
- x^3*cot(x)
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Identical expressions
- x^ three *cot(x)
- x cubed multiply by cotangent of (x)
- x to the power of three multiply by cotangent of (x)
- x3*cot(x)
- x3*cotx
- x³*cot(x)
- x to the power of 3*cot(x)
- x^3cot(x)
- x3cot(x)
- x3cotx
- x^3cotx
Limit of the function x^3*cot(x)
The solution
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/ 3 \ lim \x *cot(x)/ x->oo
$$\lim_{x \to \infty}\left(x^{3} \cot{\left(x \right)}\right)$$
Limit(x^3*cot(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
Rapid solution
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/ 3 \ lim \x *cot(x)/ x->oo
$$\lim_{x \to \infty}\left(x^{3} \cot{\left(x \right)}\right)$$
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(x^{3} \cot{\left(x \right)}\right)$$
$$\lim_{x \to 0^-}\left(x^{3} \cot{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} \cot{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} \cot{\left(x \right)}\right) = \frac{1}{\tan{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} \cot{\left(x \right)}\right) = \frac{1}{\tan{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} \cot{\left(x \right)}\right)$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x^{3} \cot{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} \cot{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} \cot{\left(x \right)}\right) = \frac{1}{\tan{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} \cot{\left(x \right)}\right) = \frac{1}{\tan{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} \cot{\left(x \right)}\right)$$
More at x→-oo
The graph