Mister Exam

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Limit of the function sin(factorial(x))

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 lim sin(x!)
x->oo       
limxsin(x!)\lim_{x \to \infty} \sin{\left(x! \right)}
Limit(sin(factorial(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
Other limits x→0, -oo, +oo, 1
limxsin(x!)=1,1\lim_{x \to \infty} \sin{\left(x! \right)} = \left\langle -1, 1\right\rangle
limx0sin(x!)=sin(1)\lim_{x \to 0^-} \sin{\left(x! \right)} = \sin{\left(1 \right)}
More at x→0 from the left
limx0+sin(x!)=sin(1)\lim_{x \to 0^+} \sin{\left(x! \right)} = \sin{\left(1 \right)}
More at x→0 from the right
limx1sin(x!)=sin(1)\lim_{x \to 1^-} \sin{\left(x! \right)} = \sin{\left(1 \right)}
More at x→1 from the left
limx1+sin(x!)=sin(1)\lim_{x \to 1^+} \sin{\left(x! \right)} = \sin{\left(1 \right)}
More at x→1 from the right
limxsin(x!)=sin(()!)\lim_{x \to -\infty} \sin{\left(x! \right)} = \sin{\left(\left(-\infty\right)! \right)}
More at x→-oo
Rapid solution [src]
<-1, 1>
1,1\left\langle -1, 1\right\rangle