For each \( t \in R \), let \( [t] \) denote the greatest integer less
than or equal to \( t \)..... VIDEO
For each \( t \in R \), let \( [t] \) denote the greatest integer lesshttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2024-01-21 Let \( g(x)=\log f(x) \), where \( f(x) \) is twice differentiable
positive function on \( (0, \.... 2024-01-21 Suppose \( f: R \rightarrow R \) is a differentiable function and
\( f(1)=4 \). If \( \lim _{x \.... 2024-01-21 Using \( \lim _{x \rightarrow a}\left(\frac{x^{n}-a^{n}}{x-a}\right)=n a^{n-1} \), answer the fo.... 2024-01-21 The \( \lim _{x \rightarrow 0} x^{8}\left[\frac{1}{x^{3}}\right] \) (where \( [x] \) is greatest.... 2024-01-21 If \( y=\sqrt{x+\sqrt{y+\sqrt{x+\sqrt{y+\ldots \infty}}}} \), then \( \frac{d y}{d x} \) is equa.... 2024-01-21 The differential coefficient of \( a^{\log _{10} \operatorname{cosec}^{-1} x} \), is.... 2024-01-21 Let \( f(x) \) be a polynomial function satisfying
\( f(x)+f\left(\frac{1}{x}\right)=f(x) f\left.... 2024-01-21 Let \( a=\min \left\{x^{2}+2 x+3: x \in R\right\} \) and
\( b=\lim _{\theta \rightarrow 0} \frac.... 2024-01-21 Let \( f(x) \) be a differentiable function such that
\( f^{\prime}(x)=\sin x+\sin 4 x \cos x \).... 2024-01-21 If the normal to the curve \( y=f(x) \) at \( x=0 \) be given
by the equation \( 3 x-y+3=0 \), t.... 2024-01-21 For each \( t \in R \), let \( [t] \) denote the greatest integer less
than or equal to \( t \)..... 2024-01-21 If [.] denotes the greatest integer function, then
\( \lim _{x \rightarrow 0} \frac{\tan \left(\.... 2024-01-21 \( \lim _{x \rightarrow \infty}\left\{\left(\frac{x}{x+1}\right)^{a} a+\sin \frac{1}{x}\right\}^.... 2024-01-21 The largest value of the non-negative integer \( a \) for
which \( \lim _{\alpha \rightarrow 1}\.... 2024-01-21 The value of
\( \lim _{x \rightarrow 0}\left\{\frac{1}{1 \sin ^{2} x}+2^{\frac{1}{\sin ^{2} x}}+.... 2024-01-21 Let \( f: R \rightarrow R \) be such that \( f(1)=3 \) and \( f^{\prime}(1)=6 \).
Then, \( \lim .... 2024-01-21 Let \( x^{2}+3 y^{2}=3 \) be the equation of an ellipse in the
\( x y \)-plane. If \( A(-\sqrt{3.... 2024-01-21 If the Coordinates of the point which trisect the line
segment joining the point \( P(4,2,-6) \).... 2024-01-21 Match the pair of points in List-I with their direction cosines in List -II.
\begin{tabular}{|l|.... 2024-01-21 Match the points in List-I with their octants in List-II
\begin{tabular}{|l|l|l|l|}
\hline & Lis.... 2024-01-21 If the Coordinates of the point which trisect the line
segment joining the point \( P(4,2,-6) \)....
0