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Lim x tends to 0 sin2x+asinx/x³ be finit then the value of a and the limit are given by Lim x tends to 0 sin2x+asinx/x³ be finit then the value of a and the limit are given by
The condition for the given limit x tends to zero is that the expression should have finite value.The common x tends to zero formulas are: / =1.....................(1) (1 – )/ = 0.5.......(2)The equation is:(sin 2x + asin x)/x3 (2(sin x)(cos x) + asin x)/ x3 sinx (2(cos x) + a)/x3 [(sin x)/x] * [(2(cos x) + a)/x2]From, equation (2), a should be equal to [– 2] then:The limit will be [(sin x)/x] * [(2(cos x) – 2)/x2] = [1]*[(-)0.5*2] = (–)1
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