Question

lim (square root (x + square root (x + square root (x))) - square root (x)) x>+∞

Answer 1

\[\lim (\sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}) \] when x apro to infinite is this the Qs ??

Answer 2

yes

Answer 3

ok when its a polinomial lim f(x) = lim x^ the pigest power givin,,,

Answer 4

you can solve it helps me not???

Answer 5

oh ya , just second

Answer 6

but lets do it togethor try to multibly f(x) with
\[\frac{ \sqrt{x+\sqrt{x+x}}+\sqrt{x} }{ \sqrt{x+\sqrt{x+x}}+\sqrt{x} } \]

Answer 7

got it untill now ??

Answer 8

ok i'll supose that u did then the limit would be
\[\lim \frac{ \sqrt{x+\sqrt{x+ \sqrt{x}}}-\sqrt{x} \times \sqrt{x+\sqrt{x+ \sqrt{x}}}+\sqrt{x} }{ \sqrt{x+\sqrt{x+ \sqrt{x}}}+\sqrt{x} }\]

Answer 9

use the concepts of "Difference between the two squares"
so wat do u think r u still stuck in it ??

Answer 10

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Answer 11

i'm so sorry..but i'm not understand....