Question and Answers Forum

All Questions      Topic List

Limits Questions

Previous in All Question      Next in All Question      

Previous in Limits      Next in Limits      

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

$${yes} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com