Evaluate: \( \lim _{x \rightarrow \infty} \frac{\left(1^{2}+2^{2}+3^{2}+\cdots+n^{2}\right)}{n^{...
Evaluate: \( \lim _{x \rightarrow \infty} \frac{\left(1^{2}+2^{2}+3^{2}+\cdots+n^{2}\right)}{n^{2}(1+3+5+7+\cdots+n \text { terms })} \).
(a) 0
(b) 1
(c) \( \infty \)
(d) Does not exist
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions
2022-10-26 | What is the main criterion used by the World Bank in classifying different countries? What are t... |
2022-10-26 | Discuss and fill the following table giving one example each from your area.
\begin{tabular}{|l|... |
2022-10-26 | Using examples from your area compare and contrast that activities and functions of private and ... |
2022-10-26 | Distinguish between open unemployment and disguised unemployment. |
2022-10-26 | Why do we use averages? Are there any limitations to their use? Illustrate with your own example... |
2022-10-26 | The solution set of the equation \( \log (x+6)- \) \( \log 8=\log 9-\log (x+7) \) is
(a) \( \{-1... |
2022-10-26 | The solution set of the equation \( \log (2 x-5)- \) \( \log 3=\log 4-\log (x+9) \) is
(a) \( \l... |
2022-10-26 | If \( \log _{9}\left[\left(\log _{8} x\right)\right]0 \), then \( x \) belongs to
(a) \( (1,8) \... |
2022-10-26 | \( \log _{\frac{1}{2}} \frac{2}{3}-\log _{\frac{2}{3}} \frac{1}{2} \). The appropriate symbol in... |
2022-10-26 | If \( x=\log _{\frac{1}{2}} \frac{4}{3} \cdot \log _{2} \frac{1}{3} \cdot \log _{\frac{2}{3}} 0.... |
2022-10-26 | Evaluate: \( \lim _{x \rightarrow \infty} \frac{\left(1^{2}+2^{2}+3^{2}+\cdots+n^{2}\right)}{n^{... |
2022-10-26 | If \( f: R \rightarrow R \) is a function defined as \( f(\alpha-f(\alpha))= \) \( 5 f(\alpha) \... |
2022-10-26 | If \( f(x)+f(1-x)=10 \), then the value of \( f\left(\frac{1}{10}\right)+f\left(\frac{2}{10}\rig... |
2022-10-26 | Evaluate: \( \lim _{x \rightarrow 0} \frac{\sqrt{5+x}-\sqrt{5-x}}{\sqrt{10+x}-\sqrt{10-x}} \). |
2022-10-26 | If \( f: R \rightarrow R \) defined by \( f(x)=3 x-5 \), then \( f^{-1}(\{-1 \), \( -2,1,2\})= \... |
2022-10-26 | These questions are based on the following data.
The relation \( R \) is defined on a set \( P=\... |
2022-10-26 | If \( n\left(A_{x}\right)=x+1 \) and \( A_{1} \subset A_{2} \subset A_{3} \subset \ldots \subset... |
2022-10-26 | If \( X, Y \) and \( Z \) are any three non-empty sets such that any two of them are disjoint, t... |
2022-10-26 | \( A=\{-1,0,1,2\}, B=\{0,1,2\} \) and
\( f: A \rightarrow B \) defined by \( f(x)=x^{2} \), then... |
2022-10-26 | If \( n(A \cap B)=10, n(B \cap C)=20 \) and \( n(A \cap C)= \) 30 , then find the greatest possi... |
2022-10-26 | If two sets \( A \) and \( B \) have \( p \) and \( q \) number of elements respectively and \( ... |