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`        if [.] denotes the greatest integer function then find the value of lim x tends to infinity ([x]+[2x]+.........[nx])/n^2any help please?`
4 years ago

```							 ANS    3sinx+4cosx=5      => 3/5 sinx +4/5 cosx = 1      let cosA=3/5   => sinA=4/5      =>  cosAsinx + sinAcosx = 1      =>  sin(x+A) = 1 Now,        4sinx - 3cosx   =   5(4/5sinx - 3/5 cosx)     [multipying numerator and denominator by 5]   =   5(sinAsinx - cosAcosx)   =   -5{cos(x+A)} = -5[root{1-(sin(x+A)^2)}] = -5 x 0 = 0          Ans 0   TRICK: if asinx+bcosx is given then multiply numerator and denominator by root(a^2 +b^2)             this method is useful  in many questions
```
4 years ago
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