Abstract Algebra

Practice Questions

GRE Subject Test: Math › Abstract Algebra

Page 1 of 2

10 of 12

1

Find the minimum and maximum of , subject to the constraint .

2

Find the minimum and maximum of , subject to the constraint .

3

Find the minimum and maximum of , subject to the constraint .

4

Let $P_{5}(x)$ be the fifth-degree Taylor polynomial approximation for , centered at .

What is the Lagrange error of the polynomial approximation to ?

5

Let $P_{5}(x)$ be the fifth-degree Taylor polynomial approximation for , centered at .

What is the Lagrange error of the polynomial approximation to ?

6

Let $P_{5}(x)$ be the fifth-degree Taylor polynomial approximation for , centered at .

What is the Lagrange error of the polynomial approximation to ?

7

Find the absolute minimum value of the function subject to the constraint .

8

Find the absolute minimum value of the function subject to the constraint .

9

Find the absolute minimum value of the function subject to the constraint .

10

Which of the following series does not converge?

Page 1 of 2

Return to subject