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lim-x-0-r-1-10-x-r-2020-x-1008-1-3x-1012-1-




Question Number 118228 by bobhans last updated on 16/Oct/20
lim_(x→0)  ((Σ_(r=1) ^(10) (x+r)^(2020) )/((x^(1008) +1)(3x^(1012) +1))) =?
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sum_{\mathrm{r}=\mathrm{1}} ^{\mathrm{10}} \left(\mathrm{x}+\mathrm{r}\right)^{\mathrm{2020}} }{\left(\mathrm{x}^{\mathrm{1008}} +\mathrm{1}\right)\left(\mathrm{3x}^{\mathrm{1012}} +\mathrm{1}\right)}\:=?\: \\ $$
Answered by MJS_new last updated on 16/Oct/20
simply put x=0  answer is Σ_(r=1) ^(10) r^(2020)  which cannot be calculated
$$\mathrm{simply}\:\mathrm{put}\:{x}=\mathrm{0} \\ $$$$\mathrm{answer}\:\mathrm{is}\:\underset{{r}=\mathrm{1}} {\overset{\mathrm{10}} {\sum}}{r}^{\mathrm{2020}} \:\mathrm{which}\:\mathrm{cannot}\:\mathrm{be}\:\mathrm{calculated} \\ $$
Commented by bobhans last updated on 16/Oct/20
yes
$${yes} \\ $$

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