Write down a series expansion for
ln [((1−2x)/((1+2x)^2 ))] in ascending powers of x
up to and including the term in x^4 .
if x is small that terms in x^2 and higher powers
are negleted show that (((1−2x)/(1+2x)))^(1/(2x)) ≅ (1 + x)e^(−3)
Expand ln (1 + sinh x) as a series in
ascending powers of x up to and including
the term in x^3 . Hence , show that
(1 + sinh x)^(3/x) ≅ e^2 (1 −x + (x^2 /2))
Let A (((−2)),((−1)) ) ,B ((1),(3) ) , C (((−10)),(( 5)) ) three given points in the brand (O,I,J) such as OI=OJ and (OI)⊥(OJ)
D is a point such as AD=AC+2 and CD=2
Prove correctly that BD=13 .Can you find the coordinate of D?