Question

limit problem(:

Answer 1

@ganeshie8

Answer 2

The answer is -1 for the left-sided limit.

Answer 3

If you graph it, you will see this: http://www.wolframalpha.com/share/img?i=d41d8cd98f00b204e9800998ecf8427efgdbqjhtl4&f=HBQTQYZYGY4TQNBYMIZTSNRVGYYDCNBZGA2TINZUMI2DAMJQMQZQaaaa

Because at x<4, it is -1, at x>4 it is 1.

Answer 4

Since you are coming from left side, limit is -1.

Answer 5

If link doesn't work, try this: http://www.wolframalpha.com/input/?i=%7cx-4%7c%2f(x-4)

Answer 6

i want an explanation... not the answer.

Answer 7

@ganeshie8 please explain @waterineyes

Answer 8

Do you understand graph part? Since numerator and denominator is "same," we can see that if x-4 is positive (at x>4), both numerator and denominator will be positive, hence 1.

If x-4 is negative (at x<4), absolute value in numeration makes it positive, and denominator is negative, hence -1.

So limit as x approaches 4 from left side, you have -1.