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B
π
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C
−π
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D
Doesnotexist
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Solution
The correct option is A0 limx→∞sin(2+√3)nπ(2−√3)n(nϵN)=limx→∞sin(2+√3)nπ(2−√3)n×(2+√3)nπ(2−√3)n=limx→∞sin(2+√3)nπ(2−√3)n×limx→∞(2+√3)nπ(2−√3)n=0×limx→∞(2+√3)nπ(2−√3)n[∵limx→∞sinxx=0]∴L=0.