Limit Values
Calculus
Level
3
Suppose \( f(x) = x^4 + ax^2 + bx \) satisfies the following two conditions:
\[ \lim_{x \to 2} \frac{f(x)-f(2)}{x-2} = 4,\quad \lim_{x \to 1} \frac{f(x)-f(1)}{x^2-1} = 9.\ \]
What is the value of \( b - a \)?
by
Mahindra Jain