Problem set 3, question 2A-1 says:
Find the linearization of sqrt(a + bx) at 0, by using (2), and also by using
the basic approximation formulas. (Here a and b are constants; assume a 0.
Do not confuse this a with the one in (2), which has the value 0.)

1. what does "(2)" refer to?
2. one of the solutions given is:
sqrt(a)sqrt(1 + bx/a) . How is this calculated?

Thanks

Question

Problem set 3, question 2A-1 says:
Find the linearization of sqrt(a + bx) at 0, by using (2), and also by using
the basic approximation formulas. (Here a and b are constants; assume a > 0.
Do not confuse this a with the one in (2), which has the value 0.)

1.  what does "(2)" refer to?
2.  one of the solutions given is:
sqrt(a)sqrt(1 + bx/a) .   How is this calculated?

Thanks

anonymous · Answer

sqrt(a+bx) = sqrt (a(1+bx/a)) = sqrt(a)sqrt(1+bx/a)

I guess (2) refers to using the generic formula...

anonymous · Answer

Thanks. That answers it.