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limx→0asin(x)−bx+cx2+x32x2ln(1+x)−2x3+x4\large{\displaystyle \lim_{x\to 0} \frac{a\sin (x)-bx+cx^{2}+x^{3}}{2x^{2} \ln (1+x)-2x^3+x^{4}}}x→0lim2x2ln(1+x)−2x3+x4asin(x)−bx+cx2+x3
If the given limit exists and is finite for constants a,b,ca,b,ca,b,c, then it is equal to de\frac{d}{e}ed where d,ed,ed,e are coprime natural numbers.
Evaluate a+b+c+d+ea+b+c+d+ea+b+c+d+e.
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