Question

evaluate and plz answer ​

Answer 1

Step-by-step explanation:

=√(2*√(2*√(2*...)

= (2*2½ * 2¼ * 2⅛*...)½

= 2½ * 2¼ * 2⅛ * 2¹/16*...

= 2^(1/2 + 1/4 + 1/8 + 1/16+....)

we know sum of GP = a/(1-r)

a = 1/2 , r = 1/4/1/2 = 1/2

=> 2^(1/2)/(1-1/2)

=> 2^(1/2 / 1/2)

=> 2

=> √2/√2/√2/√2...

=> 2^(1/2 - 1/4 + 1/8 - 1/16 + ....)

=> a = 1/2 , r = -1/4/1/2 = -1/2

=> 2^(1/2)/(1+1/2)

=> 2^(1/3)

=>(√2)^(√2)^(√2)^...

=> (2½)^(2½)^(2½)^....

=>(2)^(1/2*2)^(1/2*2)^(1/2*2)

=> = 2