Let f(x)=x^2+xf(x)=x2+x. Find \frac{f(x) - f(a)}{x-a},x−af(x)−f(a), if x
eq a.x=a. Simplify...

Question

Let f(x)=x^2+xf(x)=x2+x. Find  \frac{f(x) - f(a)}{x-a},x−af(x)−f(a)​, if x
eq a.x​=a. Simplify your answer if possible.I dont know how to start this it seems unsolvable

Rajeswari · Accepted Answer

53928assignment
Given is a function f(x) = 
We are to find the limit as x tends to a of
Since x tends to a, we get x = a+h where h is very small either positive or negative
Then we get the above expression as
=
Hence we get answer as 2a+1 when x ≠a
When x =a,

Let f(x)=x^2+xf(x)=x2+x. Find \frac{f(x) - f(a)}{x-a},x−af(x)−f(a), if x\neq a.x=a. Simplify your answer if possible. I dont know how to start this it seems unsolvable

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Let f(x)=x^2+xf(x)=x2+x. Find \frac{f(x) - f(a)}{x-a},x−af(x)−f(a)​, if x\neq a.x​=a. Simplify your answer if possible. I dont know how to start this it seems unsolvable

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Let f(x)=x^2+xf(x)=x2+x. Find \frac{f(x) - f(a)}{x-a},x−af(x)−f(a), if x\neq a.x=a. Simplify your answer if possible. I dont know how to start this it seems unsolvable