Evaluate the Given limit: \(\lim_{x\rightarrow \pi}\)(x - \(\frac{22}7{}\))

Question

Let \( f(x) = \int \frac{(2 - x^2) \cdot e^x \cdot \sqrt{1 + x} \cdot (1 - x)^{3/2}}{dx} \). If \( f(0) = 0 \), then \( f\left(\frac{1}{2}\right) \) is equal to:

Answer 1

Evaluate the Given limit: \( \lim_{x \rightarrow \pi} \) (x − \( \frac{22}{7} \))

\( \lim_{x \rightarrow \pi} (x - \frac{22}{7}) \) = π − \( \frac{22}{7} \)

Since the expression is continuous, substitute \( x = \pi \) directly.

Final Answer: \( \pi - \frac{22}{7} \)

Evaluate the Given limit: \(\lim_{x\rightarrow \pi}\)(x - \(\frac{22}7{}\))

Solution and Explanation

Top Questions on Limits

Questions Asked in CBSE Class XI exam