Q1. Choose the correct option. (10×1=10)
Q2. Write down short answers of following questions. (15×2=30)
Q3. Write detailed answers of the following questions. (3×5=15)
1. Limit in Terms of e
Express the following limit in terms of e: lim(n→∞) [(1 + 1/n) / (e^(ax) – e^(bx))/(abx)]^(n/2)
2. Exponential Limit
Express the following limit in terms of e: lim(x→0) (e^(ax) – e^(bx))/(abx)
3. Derivative Definition
Find the limit of the function f(x) = lim(h→0) [(x + h)³ – x³]/h