e3x + 6 enx e(n+1)x = 1+ e® + 2 Sx n! (n+ 1)!

(a) Recall that > 0 for every positive real number r. Prove that if a and b are positive real numbers, then 0 < Jab < b. (The number Jab is called the geometric mean of a and b, while (a + b)/2 is called the arithmetic mean or average of a and b.) (b) Under what conditions does Vab = (a +b)/2 for positive real numbers a and b? Justify your answer.

how do you express this statement to O-notation?

Describe the set of real numbers x for which x + 2/ x − 5 > 1

Please only answer part ii. Please can i have a written working out for this question. Thank You!

Q={x I x is an integer and -4 < x<-2}

Check if the following statement is TRUE or FALSE. 2 Let X and Y be two real numbers satisfying x² + y² = 0. Then x = 0 or y = 0. True O False

6. IS the following statement TRUE or FALSE? If the statement is true, prove it, and if it is false, give a counter-example and explain why your counter-example is applicable If x and y are real numbers, then [x+y] =[x]+[y]

Show that 5 – V is algebraic number.

can someone answer this asap, please