Let . (i) Simplify for all admissible values of . (ii) State the excluded value of…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

f(x)=\dfrac{x^{2}-9}{x-3}

. (i) Simplify

f(x)

for all admissible values of

x

. (ii) State the excluded value of

x

and calculate the

y

-value that

f(x)

approaches as

x

tends to this excluded value.