IB Maths AA SL 5.1 Limits and Derivative Concept Questions

Practise IB Mathematics SL 5.1 by applying limits and derivative concept methods to questions from the Question Bank.

Exam points

Estimate limits from numerical tables or graphs and explain the limiting behaviour without relying on formal analytic limit methods.
Interpret a derivative as the gradient function or rate of change, using dy/dx, f′(x), dV/dr and ds/dt notation in context.

[Maximum number: 2]

Let $f(x)=\frac{2 x-6}{1-x}$ , for $x \neq 1$ .

Find $\lim _{x \rightarrow \infty} f(x)$ .

valid approach
eg recognizing that $\lim _{x \rightarrow \infty}$ is related to the horizontal asymptote, table with large values of x, their y value from (a)(iii), L'Hopital's rule $\lim _{x \rightarrow \infty} f(x)=-2$

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IB Maths AA SL 5.1 Limits and Derivative Concept Questions question 1