without using the root function on the calculator but by han

without using the root function on the calculator, but by hand with taylor\'s series, figure out a method to determine the ans

wer for sqrt(1.3) (if you use sqrt(x) you will get zeros. hint: you need to modify the equation a bit before proceeding to derive the equivalent taylors approximation). make your approximation up to p4(x).

Solution

the Taylor series of y=x+4y=x+4 is

y=2+x4x264+x35125x416384+....y=2+x4x264+x35125x416384+....

to get –3 put x=1