(i) Solve the inequality, leaving your answers in exact form, (ii) Hence solve
The functions f and g are defined as follows: Where λ is a constant. (i) Given that gf exists, find the largest value of λ. In the rest of the questions, use the value of λ found in part (i). (ii) On the same diagram, sketch the graph of , and , showing clearly the relationship between the graphs. […]
Find, in ascending powers of x, the first four terms in the expansion of . Things to note: Expansion by binomial theorem is all about pattern recognition. Note that the numbers in light blue are in ascending or descending down the expansion.