11th Mathematics NCERT Supplementary
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– Chapter 8: Infinite G.P. and its Sum
– Summary: An infinite geometric progression (G.P.) consists of terms like a, ar, ar^2, ar^3, … To find the sum to infinity of a G.P., formulas are used, and the behavior of terms as n increases is analyzed.
– Exercise 8.3: Finding Sum to Infinity in Geometric Progressions
– Examples: Students can practice finding the sum to infinity in various geometric progressions like 1/3, 1/9, 1/27, …, and other examples provided in the exercise.
– Chapter 12: Limits Involving Exponential and Logarithmic Functions
– Summary: Before evaluating limits of expressions with exponential and logarithmic functions, the definitions, domains, ranges, and graphs of the exponential and logarithmic functions are introduced. Theorems are used to prove results involving limits of these functions.
– Exercise 13.2: Evaluating Limits Involving Exponential and Logarithmic Functions
– Examples: Students can practice evaluating limits such as lim(x→0) (1 – e^x)/x, lim(x→0) sinx / x, and other examples provided in the exercise【4:0†source】【4:2†source】.
Evaluate the limit as x approaches 0 of x * e^x.
Calculate the limit as x approaches 0 of (x^2) * e^e^x.
Determine the limit as x approaches 5 of (5 – x) * e^(e^x).
Find the limit as x approaches 0 of sin(x) * e^x.
Compute the limit as x approaches 3 of (3 – x) * e^(e^x).
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