Math, Mathematics, Mathematics Education, Calculus, Learning.
f(x)=x², then f(2)=2²=4, while f(2+Δx)=(2+Δx)². So, we can write our equation as: Evaluating right now would give you the indeterminate form. Let’s expand the (2+Δx)² term: Notice we can cancel out the 4 in the numerator: And let’s factor out a Δx from the numerator: Cancelling out the Δx, we get: