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Question

limn((n+1)1/3n4/3+(n+2)1/3n4/3++(2n)1/3n4/3) is equal to 
 
  1. 34(2)4/334
  2. 43(2)4/3
  3. 34(2)4/343 
  4. 43(2)3/4 


Solution

The correct option is A 34(2)4/334
limn1n((1+1n)1/3+(1+2n)1/3++(1+nn)1/3)
=limnnr=11n(1+rn)1/3
rnx, 1ndx
=10(1+x)1/3dx=34(24/31) 

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