Hi,

Curious to know where the  5x + 5h + 1 - (5x + 1) came from.

If You meant:





 

Answer by jsmallt9(3759)   (Show Source): You can put this solution on YOUR website!
 I'm going to assume that your problem is



(Please use parentheses to make your expressions clearer.)


Let's simplify the fraction. In the numerator, the 5x's and the 1's cancel out:




Next we could cancel the h's, but only if h is not zero! An important thing to understand about this limit is that we are interested in what happens when h gets infinitely close to zero but not actually zero. Since h is never actually zero, it is OK to cancel the h's:



And since the limit of a constant is that constant, this simplifies to just

5


So 



 

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