Question 1185805
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{{{(2-(x/2))^7}}}<br>
= {{{(2^7)+(C(7,1)(2^6)((-x/2)^1))+(C(7,2)(2^5)((-x/2)^2))+(C(7,3)(2^4)((-x/2)^3))}}}<br>
= {{{128-(7*32)x+(21*8)x^2-(35*2)x^3}}}<br>
= {{{128-224x+168x^2-70x^3}}}<br>
{{{2-x/2=1.995}}} --> {{{x=0.01}}}<br>
{{{1.995^7 = 128-224(.01)+168(.0001)-70(.000001) = 128-2.24+.0168-.00007 = 125.77673}}}<br>
Actual value (to 7 decimal places): 1.995^7=125.7767302<br>