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I’m trying to assess the limit of this term:[sqrt(x+h) - sqrt(x)]/hUnfortunately, my basic math skills are failing me. The answer in the book says that the limit of this term as h approaches 0 is 1/2 sqrt(x) but I can’t get there. I’ve tried breaking the fraction into two parts, squaring the top and bottom of each and recombining. This gets me:h/h^2That doesn’t help much.
I’m trying to assess the limit of this term:
[sqrt(x+h) - sqrt(x)]/h
Unfortunately, my basic math skills are failing me. The answer in the book says that the limit of this term as h approaches 0 is 1/2 sqrt(x) but I can’t get there. I’ve tried breaking the fraction into two parts, squaring the top and bottom of each and recombining. This gets me:
h/h^2
That doesn’t help much.
