Use the definition of a taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (enter your answers as a comma-separated list.) f(x) = 7 1 + x , a = 2

The first four nonzero terms of the Taylor series of around are:

Step-by-step explanation:

The Taylor series of the function f at a (or about a or centered at a) is given by

To find the first four nonzero terms of the Taylor series of around you must:

In our case,

So, what we need to do to get the desired polynomial is to calculate the derivatives, evaluate them at the given point, and plug the results into the given formula.

Evaluate the function at the point:

Evaluate the function at the point:

Evaluate the function at the point:

Evaluate the function at the point:

Evaluate the function at the point:

Apply the Taylor series definition:

The first four nonzero terms of the Taylor series of around are:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

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step-by-step explanation: