Question

$\sqrt{4 + \sqrt{4 + ..... \infty } }$
FIND THE ANSWER PLS ​

Answer 1

Answer:

1/2+√17/2

Step-by-step explanation:

Let it be X

It is infinite series so you can write X= √(4+X) because it is infinite series.

now

X^2 = 4+ X

which can be solved easily as quadratic equation

in this answer is (1/2)+(√17)/2

Answer 2

HERE WE HAVE ONE FORMULA FOR THIS QUESTION

FORMULA =

$\sqrt{4n + 1} + 1 \div 2$

SO WE N = 4

√4×4+1 +1 ÷ 2

So √15 +1 ÷ 2

ANSWER IS √15 +1 /2

HOPE IT HELPS TO U