UP TGT Mathematics Real Analysis Test Series - Part 5
If lim(a_n) = L != 0 and b_n -> M, then lim(a_n / b_n) provided M != 0 is:
Type: MCQ • Marks: 1
If lim(a_n) = L != 0 and b_n -> M, then lim(a_n / b_n) provided M != 0 is:
Options
A. L / M
B. M / L
C. L * M
D. L + M
Explanation
Correct Answer: Option 1 (L / M). Limits in R are unique. Sum, product, and quotient rules hold. Cauchy's first/second limit theorems and Sandwich theorem provide useful tools for limit calculation.
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