Question

Lt x -->∞ √x+√x+√x +√x

Answer 1

∞ ??

Answer 2

@shubhamsrg limit x tends to infinity

Answer 3

i mean the ans is ∞ as far as i am concerned..

Answer 4

no its 0.5

Answer 5

i cross checked it:
well..wolfram alpha confirms my ans..
http://www.wolframalpha.com/input/?i=Limit++x+tends+to+%E2%88%9E+%E2%88%9A%28x%2B%E2%88%9A%28x%2B%E2%88%9A%28x+%2B%E2%88%9Ax%29%29%29

Answer 6

wolform is getting it wrong

Answer 7

hmm,,how do you get .5 but ?
o.O

Answer 8

i rationalise it but stucked after that

Answer 9

why do you even need to rationalise this?

Answer 10

i still will stick to infinty as the ans..
cos larger x gets,,larger f(x) gets..

Answer 11

@apoorvk then plz tell me how u can do it

Answer 12

@shubhamsrg after rationalize i get it \[\sqrt{x+\sqrt{x}}\div \sqrt{x+\sqrt{x+\sqrt{x}}} +\sqrt{x}\]

Answer 13

oh sry question have - instead of
+ \[\sqrt{x+\sqrt{x+\sqrt{x}}} - \sqrt{x}\]

Answer 14

Is that the question?