Derivatives

[Dazed]

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]

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