Consider the function ƒ(x) = eˣ
(a) differentiate the taylor series about 0 of ƒ(x)
(b) identify the function represented by the differentiated series.
(c) give the interval of convergence of the power series for the derivative.

a) The Taylor series expansion of about is

Differentiating the expansion with respect to 'x' we get

b)

As we can identify from the expansion calculated above we have

c)

The interval of convergence of the given power series is

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation: