Question

Can you find the limit as x approaches infinity for √((x^(2))+x) - √((x^(2))-x)

Answer 1

hmmm the answer key says it is equal to 1

Answer 2

it goes like this the given expression can be re written as after ratinalising
(2x)/(√((x^(2))+x) + √((x^(2))-x)
after dividing both num and denom by x it yields 2/2 =1 (as1/x tends to 0)

Answer 3

why 2x