Choose the correct or the most suitable answer from the given four alternatives.
`lim_(xrarrinfty)[sqrt(x^2 -1)]/(2x+1)`

Choose the correct or the most suitable answer from the given four alternatives. lim_(xrarr0)(sinx)/x

Choose the correct or the most suitable answer from the given four alternatives. lim_(xrarr0)[sqrt(1-cos2x)]/x

Choose the correct or the most suitable answer from the given four alternatives. lim_(xrarrinfty)[(x^2 +5x +6)/(x^2 +x-6)]^x is:

Choose the correct or the most suitable answer from the given four alternatives. lim_(xrarr3)floor(x) =

Choose the correct or the most suitable answer from the given four alternatives. lim_(xrarr0)(a^x -b^x)/x =:

Choose the correct or the most suitable answer from the given four alternatives. lim_(xrarr1)(x^2 -5x +6)/(x^2 -3x +4)

Choose the correct or the most suitable answer from the given four alternatives. lim_(xrarr0) [e^(sinx)-1]/x = :

Choose the correct or the most suitable answer from the given four alternatives. lim_(nrarrinfty)[1/(n^2) +2/(n^2) +3/(n^2) +…+n/(n^2)] is :

Choose the correct or the most suitable answer from the given four alternatives. lim_[xrarr(pi/2)](2x-pi)/cosx

Choose the correct or the most suitable answer from the given four alternatives. lim_(xrarr0)(8^x -4^x -2^x +1^x )/(x^2)=