Derivatives

Dazed

New member
Joined
Jun 15, 2005
Messages
24
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
8,322
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
 
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