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f(x)={cos(pix)/2,x >0x+a ,xlt=0 Find th...

`f(x)={cos(pix)/2,x >0x+a ,xlt=0` Find the values of `a` if `x=0` is a point of maxima.

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For `xlt0f(x)=x+a`, which is increasing
For `0lt xlt2f(x) = cos (pix)/(2)` which is decreasing
x=0 is point of maxima `f(0)ge underset(xrarr0+)limf(x)`
`f(x)geunderset(xrarr0+)lim cos (pix)/(2)`
`age1`

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