Question

Okay I don't under stand what this problem is talking about.

Answer 1

f lim tan(0+∆x) – tan(0)/ ∆x= 1
..∆x→0

y = tan(x) is continuous at x = 0
y = tan(x) is differentiable at x = 0 are false statement
because tan(0) ≠1 ????

Answer 2

if the derivative of tan(x) at x=0 is 1, then it is differentiable at x=0; so thats true

the derivative of y=tanx at x=0 is the derivative; and that true

the derivative of a function at a single point does not define the derivative of the function ...

Answer 3

d/dx [tan x] is not equal to 1

d/dx [tan x] is a function of x which in this case is not a constant

Answer 4

Thank you!