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Question

The value of limx4nr=1nr(3r+4n)2 is equal to

A
135
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B
114
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C
110
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D
15
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Solution

The correct option is C 110
Tr=nr(3r+4n)2Tr=1rnn(3rn+4)2
S=limn1n4n11rn(3rn+4)2
S=40dxx(3x+4)2

Putting 3x+4=t
32xdx=dt
S=23104dtt2=23[1t]410=110

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