Chapter 0 Preface f(x)≈f(0)+f(0)x EXample sn(x)≈S(0)+( sin x)=0x=CoS(0)x=x,2x→>0 Following approximate formulae often used in physics (x>0) sm(x)≈x ln(1+x)≈x tan(x)≈x 1+x≈1+-x ex≈1+x (1+x)≈1+NxChapter 1Chapter 1 Measurment Chapter 0 Preface Example: sin( x)  sin( 0) + (sin x)'| x=0 x = cos(0)x = x, x →0 Following approximate formulae often used in physics ( ) : sin( x)  x x Nx N (1+ ) 1+ x x 2 1 1+ 1+ ln(1+ x)  x e x x 1+ tan( x)  x ...... x →0 f (x)  f (0) + f '(0)x