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Limits

Limits is a fundamental concept in calculus that describes the behavior of a function as the input approaches a particular value. It helps in understanding how a function behaves near a point, even if the function is not exactly defined at that point. The concept of limits forms the foundation of calculus, especially for topics like continuity, differentiation, and integration. By studying limits, students can analyze how functions change and approach certain values.

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Limits Revision Notes
This PDF contains complete revision notes for the Limits chapter (MHT-CET Mathematics). The notes are written in a clear and concise format so that students can quickly revise all important concepts before the exam. Topics covered in this PDF: • Concept and definition of limits • Standard limits used in calculations • Important trigonometric limits • Basic limit laws and properties • Algebraic methods such as factorization and rationalization • Limits involving infinity • Important results and identities • Indeterminate forms like 0/0, ∞/∞, 0×∞, ∞−∞ • Problem-solving tips for MHT-CET

Formula Bank

Sum Rule
lim(f(x)+g(x))=limf(x)+lim\space g(x)
Difference Rule
lim(f(x)−g(x))=limf(x)−limg(x)
Product Rule
lim(f(x)g(x))=limf(x)×limg(x)
Indeterminate Forms
\frac00,\frac{\infty}{\infty},0\times\infty,\infty-\infty

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Assessment 1: Limits