Question

Function f(x) =$e^{2}$ (100x)²ⁿ is discontinuous at`

• A. –100, 100
• B. –1, 1
• C. –$e^{3}$, $\lim_{\alpha \rightarrow \pi/4}\frac{\sin\alpha - \cos\alpha}{\alpha - \pi/4} =$
• D. None of these

Answer 1

Answer: (C)

–$e^{3}$, $\lim_{\alpha \rightarrow \pi/4}\frac{\sin\alpha - \cos\alpha}{\alpha - \pi/4} =$

Answer 2

f(x) = $\lim _ { n \rightarrow \infty }$ (100x)²ⁿ is discontinuous 100x = ±1

⇒ x = ±$\frac { 1 } { 100 }$