Please solve question 22 22 limx→1-i ∑i =20002009 x - i = - Maths - Sequences and Series

Question

Please solve question 22

22     lim x → 1 - i   ∑ i   = 2000
2009   x   -   i   =   a    
20050                
    b     - 20055        
            c     20055
                 
          d     N o n e   o
f   t h e s e A n s       c

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

Image is blurred but I guess it islimx→1- ∑i=20002009 x-i=limx→1-x-2000+x-2001+x-2002+
+x-2009=1-2000+1-2001+1-2002+ +1-2009=1999+2000+2001+
+2008=1999+2000+2001+ +2008which is A P
 of 10 terms with First term=1999 and last term=2008=1021999+2008=20035

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Please solve question 22 22 lim x → 1 - i ∑ i = 2000 2009 x - i = . . . . . . . . . . . . a 20050 b - 20055 c 20055 d N o n e o f t h e s e A n s . c

Please solve question 22

$(22) \lim_{x \to 1^{- i}} \sum_{i = 2000}^{2009} |x - i| = . . . . . . . . . . . . (a) 20050 (b) - 20055 (c) 20055 (d) N o n e o f t h e s e A n s . (c)$