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We have f (x) lim_(n to oo)cos (x)/(2) cos (x)/(2^(2)) cos (x)/(2^(3)) cos (x)/(2^(4))…… ….cos (x)/(2^(n)) = ("sin" x)/(2^(n) "sin" (x)/(2^(n))) using the identity lim_(n to oo) sum_(k=1)^(n)(1)/(2^(2k)) sec^(2) ((x)/(2^(k))) equals |
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Answer» `COSEC^(2) X - (1)/(x^(2))` |
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