Homework SourseIm trying to calculate lim 1a h 12 1a 12h as h0 How do I
I\'m trying to calculate lim [1/(a + h + 1)^2 - 1/(a + 1)^2]/h as h->0.
How do I expand something with 3 terms inside -- (a + h + 1)^2? Is there a method for this, like \"FOIL\"?
Or am I just supposed to leave that alone?
How do I expand something with 3 terms inside -- (a + h + 1)^2? Is there a method for this, like \"FOIL\"?
Or am I just supposed to leave that alone?
Solution
Just consider (h+1) to be one term, then foil that: (a+ (h+1))^2 = a^2 + 2a(h+1) + (h+1)^2 = a^2 + 2a(h+1) + h^2 + 2h + 1 = a^2 + 2ah + 2a + h^2 + 2h + 1.![I\'m trying to calculate lim [1/(a + h + 1)^2 - 1/(a + 1)^2]/h as h->0. How do I expand something with 3 terms inside -- (a + h + 1)^2? Is there a method for](/WebImages/43/im-trying-to-calculate-lim-1a-h-12-1a-12h-as-h0-how-do-i-1133964-1761606480-0.webp "I\'m trying to calculate lim [1/(a + h + 1)^2 - 1/(a + 1)^2]/h as h->0. How do I expand something with 3 terms inside -- (a + h + 1)^2? Is there a method for")
