Question

how do i find the limit [(x^4)-1] / [(x^3)-1] as x approaches 1 ?

Answer 1

Substitute your x = 1 values into your limit, if you get an answer which is "0/0" you must factorise and cancel, if you get "x/b" then this is your answer, if you get "0/x" then there is no limit.

Answer 2

x^4-1=(x-1)(x+1)(x^2+1);
x^3-1=(x-1)(x^2+x+1);
So limit is 4/3

Answer 3

This is right.

Answer 4

great..thanks

Answer 5

Not at all.