Limit

A limit is the value a function approaches as its input gets closer and closer to a particular number, even if the function is not defined exactly there. We write $\lim_{x\to a} f(x)$.

Limits underpin differentiation, which is built on the limit of a gradient as an interval shrinks to zero.

You meet Limit in the Differentiation chapter of SPM Additional Mathematics. Knowing the term precisely matters in the exam: questions often hinge on reading a keyword correctly, and because SPM marking is analytic, using the right definition in your working helps secure method marks.

Our teachers make sure a student can not only recite what Limit means but use it fluently in a full solution.

Because the SPM Add Math paper is bilingual (BM/EN), it helps to know this term in each language: Limit (EN) · Had (BM) · 极限 (中文)

Other key terms from the Differentiation chapter you may want to check:

• First Derivative
• Differentiation from First Principles
• Gradient Function
• Chain Rule
• Product Rule
• Quotient Rule