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If ((1-3x)^(1//2)+(1-x)^(5//3))/(sqrt(4-x)) is approximately equal to a+bx for small values of x, then (a,b)= |
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Answer» `(1,(35)/(24))` `=([1+(1)/(2)(-3x)]+[1+(5)/(3)(-x)])/(2[1+(1)/(2)(-(x)/(4))])` (Neglecting HIGHER POWERS of `x`) `=([1-(19)/(12)x])/([1-(x)/(8)])` `=[1-(19)/(12)x][1-(x)/(8)]^(-1)` `=[1-(19)/(12)x][1+(x)/(8)]=1-(35)/(24)x` then `a+bx=1-(35)/(24)ximpliesa=1`, `b=-(35)/(24)` |
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