Q25.Let f(x) = limn→∞∑nr=0 ( tan(x/2r+1)+tan3(x/2r+1)1−tan2(x/2r+1) )
What This Question Tests
This question tests the ability to simplify a complex trigonometric summation using specific identities and then evaluate a limit involving exponential functions, likely requiring L'Hopital's Rule or series expansion.
Concepts Tested
Formulas Used
tan(x) + tan^3(x) / (1-tan^2(x)) = tan(2x)
lim(x->0) (g(x) - f(x)) / (e^(g(x)) - e^(f(x)))
L'Hopital's Rule
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1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
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1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Summation and limits
- Year
- 2025
- Shift
- 28 Jan Shift 2
- Q Number
- Q25
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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