If |x| is so small that `x^2` and higher powers of x many be neglected , prove that `sqrt(9 - 2x) (3 + (4x)/(5))^(-1) = 1 - 17/45 x`

If |x| is so small that x^2 and higher powers of x may be neglected show that (sqrt(4 -x )) (3 - x/2)^(-1) = 2/3 (1 +(x)/(24))

If |x| is so small that x^2 and higher powers of x many be neglected , prove that ((1 + 7x)^(2/3) . (1 - 4x)^(-2))/((4 + 7x)^(1/2)) = 1/2 (1 + 283/24 x)

If |x| is so small that x^2 and higher powers of x may be neglected show that ((4 - 7x )^(1//2))/((3 + 5x)^3) = 2/27 (1 - 47/8 x)

If |x| is so small that x^2 and higher powers of x may be neglected show that ((8 + 3x)^(2//3))/((2 + 3x)sqrt(4 - 5x)) = 1 - (5x)/(8)

If |x| is so small that x^2 and higher powers of x may be neglected show that ((4 + 3x)^(1//2))/((3 - 2x)^2) = 2/9 + 41/108 x

If |x| is so small that x^2 and higher powers of x may be neglected show that ((1 -2/3 x)^(3//2) . (32 + 5x)^(1//5))/((3 - x)^3) = 2/27 (1 + (x)/(32))

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

If x is numerically so small so that x^2 and higher powers of x can be neglected , then (1+(2x)/(3))^(3/2), (32 + 5x)^(-1/5) is approximately equal to :

If |x| is so small that all terms containing x^2 and higher powers of x can be neglected , then the approximate value of ((3 - 5x)^(1//2))/((5 - 3x)^2), where x = (1)/(sqrt363) , is

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