Thread: A limit question that shouldn't be as hard as it seems to me

Please help me find the limit as x approaches 0
((sqrt[1+2x] - sqrt[1+3x]) / x+2x^2) where x is greater than 0

I know/think the easiest thing would be to get rid of the fraction first, but can't for some reason. Thanks

Originally Posted by gixxer998

Please help me find the limit as x approaches 0
((sqrt[1+2x] - sqrt[1+3x]) / x+2x^2) where x is greater than 0

I know/think the easiest thing would be to get rid of the fraction first, but can't for some reason. Thanks

Multiply the numerator and denominator by , simplify the numerator, cancel the factor common to numerator and denominator and then take the limit.