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Let f(x)= cosec 2x + cosec 2^2 x+ cosec...

Let `f(x)= cosec 2x + cosec 2^2 x+ cosec 2^3 x+........+ cosec 2^n ,x in (0,pi/2) and g(x)=f(x)+cot 2^n x` . If `H(x)={ (cosx)^(g(x))+(sec)^(cisecx) if x lt 0 and p if x=0 and (e^x+e^(-x)-2cosx)/(x sin x) If x lt o` .Find the value of p, if possible to make the functieIf `H(x)` continuous at `x = 0`.

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