10.1    a) limit (x^4-6x^3+5)/(x^4+5x^3-6) where x to 1
        b) limit (sin x)/x where x to 0
        c) limit ln(1+x)/x where x to 0
        d) limit ln(x)/sqrt(x) where x to inf
        e) limit (arctan x - pi/4)/(x-1) where x to 1
        f) limit (1-cos(x))/x^2 where x to 0
        g) limit (x ln x)/(x+ln x) where x to inf
        h) limit (e^x+e^(-x)-2)/(1-cos(2x)) where x to 0
        i) limit sin(2x)/(x cos x) where x to 0

10.2    a) limit x^2*e^(-x) where x to inf
        b) limit x^2*ln(x) where x to 0+
        c) limit sin(x) ln(x) where x to 0+
        d) limit x^(1/x) where x to inf
        e) limit x^x where x to 0
        f) limit x*e^(1/x) where x to 0+
        g) limit x*e^(1/x) where x to 0-
        h) limit (1/sin(x)-1/x) where x to 0
        i) limit (1-sin(x)) tan(x) where x to pi/2-
        j) limit (x-sin(x))/(x+sin(x)) where x to inf
        k) limit x/sqrt(1+x^2) where x to inf

10.3    a) d(3x^2+6)/dx
        b) d(2sqrt(x)-1/(8x))/dx
        c) d(xe^x)/dx

10.4    a) (7x^2+4x)'*0.2 where x = 4
        b) ((x^2+1)^2)'*DX where x = 1
        c) (tan x)'*pi/180

10.5    d(4*pi*x^2)/dx where x = 50
        4*pi*(51)^2-4*pi*(50)^2

10.6    0.0003*(2/3*pi*x^3)' where x = 100
        2/3*pi*(100+0.0003)^3-2/3*pi*(100)^3

10.7    a) 1+0.08*(sqrt(x))' where x = 1
           sqrt(1.08)
        b) 4-0.07*(sqrt(x))' where x = 16
           sqrt(15.93)
        c) 3^5 + 0.02*(x^5)' where x = 3
           3.02^5
        d) sin(0) + pi/30*(sin(x))' where x = 0
           sin(pi/30)
        e) 1+1*(ln(x)/ln(10))' where x = 10
           ln(11)/ln(10)
        f) 1+0.06*(x^(1/3))' where x = 1
           1.06^(1/3)
        g) arctan(1) + 0.05*(arctan(x))' where x = 1
           arctan(1.05)