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Question

The value oflimn4n5+23n2+15n4+22n3+1is


A

1

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B

0

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C

-1

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D

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Solution

The correct option is B

0


limn4n5+23n2+15n4+22n3+1=limnn5/441+2n5n2/331+1n2n4/55 1+2n4n3/221+1n3=limnn5/4n3/241+2n5n2/3n3/231+1n2n4/5n3/251+2n4n3/2n3/221+1n3On dividing the numerator and denominator by the highest power of n.i.e., n3/2=limn1n1/441+2n51n5/631+1n2n7/1051+2n421+1n3=0001=0


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