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lim(x->0) ((sqrt(1-cosx+sqrt(1-cosx+sqrt...

`lim_(x->0) ((sqrt(1-cosx+sqrt(1-cosx+sqrt(1-cosx+....oo))))-1)/x^2`

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The range of the following function is f(x)=sqrt((1-cosx)sqrt((1-cosx)sqrt((1-cosx)sqrt(...oo)))) (a)(0,1) (b) (0,1/2) (c) (0,2) (d) non eoft h e s e

The range of the following function is f(x)=sqrt((1-cosx)sqrt((1-cosx)sqrt((1-cosx)sqrt(oo)))) (a)(0,1) (b) (0,1/2) (c) (0,2) (d) non eoft h e s e

The range of the following function is f(x)=sqrt((1-cosx)sqrt((1-cosx)sqrt((1-cosx)sqrt(oo)))) (a)(0,1) (b) (0,1/2) (c) (0,2) (d) non eoft h e s e

lim_(xto0)(sqrt(1+x^(2))-1)/(1-cosx)=

lim_(xto0)(sqrt2-sqrt(1+cosx))/(sin^(2)x)

Show that: tan^(-1)[ (sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))] =(pi)/(4)+(x)/(2), x in [0, pi]

Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))}=pi/4+x/2 ,

Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))}=pi/4+x/2 ,

Prove that: tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))}=pi/4+x/2,\ if\ pi < x <\3pi/2