Q85.The value of limx→0 2 ( 1−cos x√cos 2x3√cosx2 3x……10√cos 10x )
What This Question Tests
This problem tests the evaluation of a complex limit involving products of cosine terms raised to fractional powers, requiring skillful application of standard limits or series expansions for cos(x) for x tending to 0.
Concepts Tested
Formulas Used
lim(x->0) (1-cos(ax))/x^2 = a^2/2
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
6.11 — Dynamics Of Rotational
Physics Class 11 · Chapter 6
6.11 Dynamics of rotational the motion of extended bodies. motion about a fixed axis A large class of problems with extended bodies can be
📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Evaluation of limits using L'Hopital's rule or series expansion
- Year
- 2024
- Shift
- 08 Apr Shift 1
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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