Thank you for posting you question here at brainly. Below is the solution:
1/97 = 1 / (100-3) = 1 / (xo + dx)
<span>so, you have now that </span>
<span>x = xo + dx, where x = 97, xo = 100, and dx = - 3. Recognizing that 3 << 100, we can write the Taylor expansion around xo </span>
<span>1/ (xo + dx) ~ 1/xo + d/dx(1/xo)dx = 1/xo + (-1/xo^2)dx </span>
<span>= 1/100 - (1/100^2) (-3) = 1/100 + 3/100^2 </span>
<span>= 1/100 + 3/10000 </span>
<span>= 0.01 + 0.0003 </span>
<span>= 0.0103 </span>
4+3+1+1+1+1+1 =12
4x3x1x1x1x1x1=12
