Chapter 7 Limits Ex 7.2 Solutions

As x → 2, numerator and denominator both tend to zero ∴ x – 2 is a factor of both. To find the other factor for both of them, by synthetic division Consider, Numerator = x3 + 0x2 – 7x + 6 ∴ The limit does not exist

As x → 1, numerator and denominator both tend to zero ∴ x – 1 is a factor of both. To find the factor of numerator and denominator by synthetic division Consider, numerator = x4 + 0x3 – 3x2 + 0x + 2