Let f(x) be a real monic quadratic polynomial.

Bryanna Leon

Bryanna Leon

Answered question

2022-04-13

Let f(x) be a real monic quadratic polynomial. If {x1},{x2},{x3},{x4},{x5} be the 5 points where g(x)=|f(|x|)| is non-differentiable and i=15{ft|{{xi}}right|=8} then find the value of 15mathop{lim}limitsx{{x2}f(x)}x.

Answer & Explanation

umkhululiueyj

umkhululiueyj

Beginner2022-04-14Added 12 answers

g is non-differentiable at zeroes of f and their reflections across 0 and at 0.
So if x1=m>0 and x2=n>0 then x3=m,x4=n and x5=0. Thus
2n+2m=8b=(m+n)=4
So f(x)=x24x+climx{4xcoverx}=4
So the result is 45.

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