Prove that .
?
List the steps involved.

What will be an ideal response?


Step 1: We must verify that the statement is true for . However, the statement is true.

Step 2: Let's suggest that the statement is true for , i.e. . Let's examine it for by substituting for in the inequality.

.

Let's transform this inequality as Because the statement is true for and the statement is also true for .


Mathematics

You might also like to view...

For the function f whose graph is given, determine the limit.Findf(x).

A.
B. 3
C. 4
D. does not exist

Mathematics

Use the table or graph to answer the question.Amy graphed her utility bills for the last year for her records. Estimate the total amount Amy paid for her utilities for the month of January.

A. $75 B. $125 C. $85 D. $105

Mathematics

Solve by any desired method. If there is no real number solution, say so.4x2 = 4x - 7

A.
B. x = 
C. x = 
D. No real solution

Mathematics

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

A.
B.
C.
D.

Mathematics