What is [math]\displaystyle \lim_{n \to \infty}\scriptstyle \sqrt{1 +2 \sqrt {1 +3 \sqrt{1 +4 \sqrt{\ldots \sqrt{1+n}}}}}[/math]? - Quora
![Ans. If ( x sqrt { 1 + y } + y sqrt { 1 + x } = 0 ) , prove thatn[ frac { d y } { d x } = - ( 1 + x ) ^ { - 2 } quad text { INCERT, CBSE } 20081 ]" Ans. If ( x sqrt { 1 + y } + y sqrt { 1 + x } = 0 ) , prove thatn[ frac { d y } { d x } = - ( 1 + x ) ^ { - 2 } quad text { INCERT, CBSE } 20081 ]"](https://toppr-doubts-media.s3.amazonaws.com/images/7791356/395e9f91-b82b-4167-826e-e5a76742aa68.jpg)
Ans. If ( x sqrt { 1 + y } + y sqrt { 1 + x } = 0 ) , prove thatn[ frac { d y } { d x } = - ( 1 + x ) ^ { - 2 } quad text { INCERT, CBSE } 20081 ]"
![If Sqrt(1-x^2) + Sqrt(1- Y^2)` = A(X − Y), Show that Dy/Dx = Sqrt((1-y^2)/(1-x^2)) - Mathematics and Statistics | Shaalaa.com If Sqrt(1-x^2) + Sqrt(1- Y^2)` = A(X − Y), Show that Dy/Dx = Sqrt((1-y^2)/(1-x^2)) - Mathematics and Statistics | Shaalaa.com](https://www.shaalaa.com/images/_4:244e326f795644788d18035385ca84db.png)