Assuming `x` to be so small that `x^2` and higher power of `x` can be neglected, prove that `((1+(3x)/4)^-4(16-3x)^(1/2))/(8+x)^(2/3) = 1-(305/96)x`

Assuming x to be so small that x^(3) and higher powers of x can be neglected, then value of E=(1-3/2x)^(5)(2+3x)^(6) , is

Assuming 'x' to be small that x^(2) and higher power of x' can be neglected,show that,(1+(3)/(4)(x))^(-4)(16-3x)^((1)/(2))(8+x)^(2) appoximately equat to,1-(305)/(96)x

If x is small so that x^(2) and higher powers can be neglected,then the approximate value for ((1-2x)^(-1)(1-3x)^(-2))/((1-4x)^(-3)) is

If x is so small that x^(3) and higher powers of x may be neglected, then ((1+x)^(3//2)-(1+1/2 x)^3)/((1-x)^(1//2)) may be approximated as

If |x| is so small that x^(2) and higher power of x may be neglected then the approximate value of ((4+x)^((1)/(2))+(8-x)^((1)/(3)))/((1-(2x)/(3))^((3)/(2))) when x=(6)/(25) is

If x is so small that x^(3) and higher powers of x may be neglectd,then ((1+x)^(3/2)-(1+(1)/(2)x)^(3))/((1-x)^(1/2)) may be approximated as 3x+(3)/(8)x^(2) b.1-(3)/(8)x^(2) c.(x)/(2)-(3)/(x)x^(2) d.-(3)/(8)x^(2)