Question

[The values on the right hand side indicate marks allocated for that question only and the [C

represents mapping of the question with one of the expected outcomes of the course.]

1.
(a)
By using L'Hospital rule find the value of the following limits:
(i) limx→0
(ii) limx→1ex-esin x
x-sin x
2
limx→1(2/x^2-1/x-1

Answer 1

0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.