`k=lim_(xtooo)[(sum_(k=1)^(1000)(x+k)^(m))/(x^(m)+10^(1000))]` (mgt101) is -

Question

`k=lim_(xtooo)[(sum_(k=1)^(1000)(x+k)^(m))/(x^(m)+10^(1000))]` (mgt101) is -
A. 10
B. `10^(2)`
C. `10^(3)`
D. `10^(4)`

Monjur Alahi

4 views

2025-01-04 04:42

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`k=lim_( xtooo)[(x^(m)sum_(k=1)^(1000)(1+k/x)^(m))/(x^(m)(1+10^(1000)/(x^(m))))]`
`=(1+1+....+1)/(1)=1000`

4 views Answered 2023-02-05 15:29