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Limits & Derivatives Solved Examples for JEE Video Lecture | Mathematics (Maths) for JEE Main & Advanced
FAQs on Limits & Derivatives Solved Examples for JEE Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the definition of a limit in calculus? |  |
Ans. In calculus, a limit is the value that a function or sequence approaches as the input or index approaches a certain value.
| 2. How do you find the limit of a function algebraically? | |
Ans. To find the limit of a function algebraically, you can try simplifying the function, factoring, rationalizing the denominator, or using algebraic manipulation techniques to evaluate the limit.
| 3. What is the difference between a one-sided limit and a two-sided limit? | |
Ans. A one-sided limit focuses on the behavior of a function as the input approaches a certain value from only one direction (either from the left or the right), while a two-sided limit considers the behavior from both directions.
| 4. How can derivatives be used to find the rate of change of a function? | |
Ans. Derivatives can be used to find the rate of change of a function by measuring the instantaneous rate of change at a specific point, which gives the slope of the tangent line to the function at that point.
| 5. Can you explain the concept of continuity in terms of limits and derivatives? | |
Ans. Continuity of a function at a point is closely related to the existence of limits at that point and the differentiability of the function, as a function is continuous at a point if the limit exists and the derivative is defined at that point.
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