Question

define f(1) in a way that extends f(s)=(s^3-1)/(s^2-1) to be continuous at s=1..please can someone solve this step by step

Answer 1

factorise the numerator and denominator. you should then be able to cancel a common factor.

Answer 2

the answer is f(1)=3/2 i dont see how they got this...

Answer 3

well - if you follow my first suggestion then it should all become clear to you.

Answer 4

s^2(s-1)(s+1)/(s+1)(s-1)?

Answer 5

**s^2(s+1)

Answer 6

your factorisation of the numerator is incorrect

Answer 7

(s-1)(s+1)(s-1)?

Answer 8

still not correct. do you know how to factorise \(s^3-1\)?

Answer 9

(s-1)(s^2+s+1)? sorry i took trig last summer so im trying to remember

Answer 10

that is correct. now you should be able to see which factors cancel out.

Answer 11

one sec...

Answer 12

got it!!!!! thank u , i just gotta remember how to factor down lol

Answer 13

yw