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Limits of Exponential Functions Video Lecture | Mathematics (Maths) for JEE Main & Advanced

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FAQs on Limits of Exponential Functions Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. What are the important properties of exponential functions?
Ans. Exponential functions have the properties of always being positive, increasing at an increasing rate, and having a horizontal asymptote at y=0.
2. How do you find the limit of an exponential function at a specific point?
Ans. To find the limit of an exponential function at a specific point, plug in the value of the point into the function and simplify to determine the limit.
3. Can exponential functions have limits at infinity?
Ans. Yes, exponential functions can have limits at infinity. Depending on the growth rate of the function, the limit can approach either 0 or infinity as x approaches infinity.
4. How do you determine the limit of the sum or difference of two exponential functions?
Ans. To find the limit of the sum or difference of two exponential functions, find the individual limits of each function and then add or subtract the limits accordingly.
5. Are there any special cases to consider when finding limits of exponential functions?
Ans. One special case to consider is when the exponential function is raised to a power. In this case, you may need to use properties of exponents to simplify the function before finding the limit.
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