RD Sharma Solutions Class 11 Limits

Limit of a function is related to the idea of nearness or closeness of the function to a particular value.

Properties of limits

1. lim [fx + gx] = lim fx + lim gx: This rule says that limit of the sum of two functions is equal to the sum of their limits.
2. lim [fx – gx] = lim fx – lim gx: The limit of the difference of two functions is the difference of their limits.
3. lim [fx * gx] = lim fx * lim gx : This rule states that the limit of the product of two functions is the product of their limits (if they exist).
4. lim [ fx/ gx ] = lim fx / lim gx: This rule states that the limit of quotient of two functions is the quotient of their limits, provided that the limit in the denominator function is not zero.
5. lim nth root [ fx ] = nth root [ lim fx ]. If n is even, lim f(x) has to be positive. The limit of the nth root of a function is the nth root of the limit of the function, if the nth root of the limit is a real number.

R D Sharma solutions for class 11 is designed according to the syllabus prescribed by Central Board of Secondary Education in accordance with CCE guidelines.