Q11.If limx→∞(( 1−e ) ( e − 1+x )) = α, then the value of 1+loge α equals : (1) e−1 (2) e2 (3) e−2 (4) e
What This Question Tests
This question requires careful evaluation of a limit involving exponential and logarithmic functions which are in an indeterminate form, possibly using series expansions or algebraic manipulation before applying limit properties.
Concepts Tested
Formulas Used
lim (x→0) (e^x - 1)/x = 1
lim (x→0) (ln(1+x))/x = 1
Series expansion for e^x
📚 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.
1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 · Chapter 1
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
- Limits involving exponential and logarithmic functions
- Year
- 2025
- Shift
- 22 Jan Shift 2
- Q Number
- Q11
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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