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Question: Answered & Verified by Expert
The value of limn12-22+32-42+52....+2n+12n2 is equal to
MathematicsLimitsJEE Main
Options:
  • A 2
  • B 4
  • C 6
  • D 8
Solution:
2321 Upvotes Verified Answer
The correct answer is: 2

limn12+3+23-2+.......2n+1-2n2n+1+2nn2
=limn1+2+3+4+5+....+2n+1n2

=limn2n+12n+22n2
=limnn22+1n2+2n2n2=2×22=2

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