For the function

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

For the function

k(x)=\dfrac{3}{x-2}

, answer the following: (i) Calculate

k(5)

. (ii) Find

\displaystyle \lim_{x\to \infty} k(x)

. (iii) State the sign (positive or negative) of

k(x)

when

x>2