Limits And Derivations

We are given a piecewise function. First, we analyze the behavior of the function at different intervals:
Step 1: For $-%5Cfrac%7B%5Cpi%7D%7B6%7D%20%3C%20x%20%3C%200$ ,
$f(x)%20%3D%20(1%20%2B%20%7C%5Csin%20x%7C)%5E%7B%5Cfrac%7Ba%7D%7B%7C%5Csin%20x%7C%7D%7D.$
Step 2: At $x%20%3D%200$ ,
$f(x)%20%3D%20b.$
Step 3: For $0%20%3C%20x%20%3C%20%5Cfrac%7B%5Cpi%7D%7B6%7D$ ,
$f(x)%20%3D%20%5Cfrac%7B%5Ctan%202x%7D%7B%5Ctan%203x%7D.$ We then compare the limits and continuity at each interval to determine the correct values of $a$ and $b$ .

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Limits And Derivations

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs