UP TGT Mathematics Real Analysis Test Series - Part 5
If lim(a_n) = +infinity and lim(b_n) = L (finite), then lim(a_n + b_n) is:
Type: MCQ • Marks: 1
If lim(a_n) = +infinity and lim(b_n) = L (finite), then lim(a_n + b_n) is:
Options
A. Undefined
B. +infinity
C. L
D. 0
Explanation
Correct Answer: Option 2 (+infinity). 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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