D Dazed New member Joined Jun 15, 2005 Messages 24 Jun 21, 2005 #1 Express each limit as a derivative and evaluate. lim (x^17-1)/(x-1) x-->1 lim (cos(theta) - 0.5)/(theta - 3.14/3) theta --> 3.14/3

Express each limit as a derivative and evaluate. lim (x^17-1)/(x-1) x-->1 lim (cos(theta) - 0.5)/(theta - 3.14/3) theta --> 3.14/3

pka Elite Member Joined Jan 29, 2005 Messages 9,756 Jun 21, 2005 #2 The derivative of x<SUP>17</SUP> is 17x<SUP>16</SUP> lim (x^17-1)/(x-1)= 17(1)<SUP>16</SUP>=17 x-->1 PLEASE NOTE: π≠3.14! lim (cos(Θ) - 0.5)/(Θ - π/3)=-sin(π/3) Θ--> π/3

The derivative of x<SUP>17</SUP> is 17x<SUP>16</SUP> lim (x^17-1)/(x-1)= 17(1)<SUP>16</SUP>=17 x-->1 PLEASE NOTE: π≠3.14! lim (cos(Θ) - 0.5)/(Θ - π/3)=-sin(π/3) Θ--> π/3