A few days ago
Calc. question?
How does this equal 4?
lim
X->1
x^4-1
——–
x-1
Top 1 Answers
A few days ago
Favorite Answer
x^4 – 1 can be factorised as the difference of two squares:
(x^2 – 1)(x^2 + 1).
The first factor can again be split the same way, into:
(x – 1)(x + 1).
Thus the factors of x^4 – 1 are:
(x – 1)(x + 1)(x^2 + 1).
On division by x – 1, the limit at x = 1 is the value of:
(x + 1)(x^2 + 1) when x = 1.
That is:
(1 + 1)(1 + 1)
= 2 * 2
= 4.
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