108k views
2 votes
The limit represents the derivative of some function f at some number a. State such an f and a.

lim (tan x − 1)/(x − π/4)
(x→π/4)

User Meehow
by
8.0k points

1 Answer

5 votes

Limit definition of Derivative of a function at x=a : :

lim (f(a+h)-f(a))/h =

h->0


From limit definition i need just h in the denominator, so i can substitute, h = x-pi/4 as

x -> pi/4, h ->0

also x = pi/4+h


Comparing this with limit definition f(a+h) and tan (pi/4+h), we can figure out , f(x) = tan x , and a = pi/4. I hope that this is the answer that you were looking for and it has helped you.

User Adamwy
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories