If \( f(x)=\left\{\begin{array}{ll}1+x^{2} & , \quad 0 \leq x \leq 1 \\ 2-x & , x1\end{array}\ri...
If \( f(x)=\left\{\begin{array}{ll}1+x^{2} & , \quad 0 \leq x \leq 1 \\ 2-x & , x1\end{array}\right. \), does \( \operatorname{Lt}_{x \rightarrow 1} f(x) \) exist?
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2022-10-26 | Fill in the Blanks |
2022-10-26 | Let \( f(x)=\left\{\begin{array}{cc}\frac{x-|x|}{x}, & x \neq 0 \\ -2, & x=0\end{array}\right. \... |
2022-10-26 | Evaluate the following limits : \[ \operatorname{Lt}_{x \rightarrow \frac{\pi}{2}} \sin x \] |
2022-10-26 | Fill in the Blanks |
2022-10-26 | If \( f(x)=|x|-5 \), evaluate the following limits : \[ \operatorname{Lt}_{x \rightarrow-5} f(x) \] |
2022-10-26 | Find the incorrect pair
(a) Public Sector - BHEL
(b) Electric Power Generation - NTPC
(c) Private... |
2022-10-26 | If \( f(x)=|x|-5 \), evaluate the following limits : \[ \operatorname{Lt}_{x \rightarrow 5} f(x) \] |
2022-10-26 | Arrange in proper sequence
1. Formation of NTPC
2. Jute mill set up at Rishra
3. First cement pla... |
2022-10-26 | If \( f(x)=|x|-5 \), evaluate the following limits :
\[
\operatorname{Lt}_{x \rightarrow 5^{+}} ... |
2022-10-26 | Let \( f \) be defined by \( f(x)=\left\{\begin{array}{cc}3 x-1 & , x0 \\ 0 & , x=0 . \\ 2 x+5 &... |
2022-10-26 | If \( f(x)=\left\{\begin{array}{ll}1+x^{2} & , \quad 0 \leq x \leq 1 \\ 2-x & , x1\end{array}\ri... |
2022-10-26 | Show that \( \operatorname{Lt}_{x \rightarrow 2} \frac{|x-2|}{x-2} \) does not exist. |
2022-10-26 | Find \( k \) so that \( \operatorname{Lt}_{x \rightarrow 2} f(x) \) may exist where \( f(x)=\lef... |
2022-10-26 | Let \( f \) be a function defined by \( f(x)=\left\{\begin{array}{ll}\frac{|x|}{x}, & x \neq 0 \... |
2022-10-26 | Paper, pulp, chemical, textile and dyeing, petroleum refineries and tanneries are agents of causi... |
2022-10-26 | Let \( f(x)=\left\{\begin{array}{cc}x & , 0 \leq x\frac{1}{2} \\ 0 & , x=\frac{1}{2} \\ x-1, & \... |
2022-10-26 | Which of the following adversely affects human health, animals, plants, building and the atmosphe... |
2022-10-26 | If \( a_{1}, a_{2}, \ldots, a_{n} \) are fixed real numbers and a function \( f \) is defined by... |
2022-10-26 | Which of the following is emitted by chemical and paper factories, brick kilns, refineries and sm... |
2022-10-26 | Find the equation of the circle which passes through the points \( P(1,0), Q(3,0) \) and \( R(0,... |
2022-10-26 | Evaluate the following
limits :
\[
\operatorname{Lt}_{x \rightarrow 1} \frac{\sqrt{3+x}-\sqrt{5-... |