For each \( x \in R \), let \( [x] \) be the greatest integer less than or equal to \( x \.... VIDEO
Question For each \( x \in R \), let \( [x] \) be the greatest integer less than or equal to \( x \). Then \( \lim _{x \rightarrow 0^{-}} \frac{x([x]+|x|) \sin [x]}{|x|} \) is equal tohttps://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-29 \( \lim _{n \rightarrow \infty} \frac{3.2^{n+1}-4.5^{n+1}}{5.2^{n}+7.5^{n}} \) is equal to.... 2024-01-29 \( \lim _{x \rightarrow 0}\left[\frac{e^{x}-e^{\sin x}}{x-\sin x}\right] \) is equal to.... 2024-01-29 The value of \( \lim _{x \rightarrow 0} \frac{1-\cos (1-\cos x)}{x^{4}} \) is.... 2024-01-29 \( \lim _{x \rightarrow 0} \frac{\log (1+2 x)}{x}+\lim _{x \rightarrow 2} \frac{x^{4}-2^{4}}{x-2.... 2024-01-29 Let \( \lim _{x \rightarrow 0} \frac{\sin 2 x}{\tan \left(\frac{x}{2}\right)}=L_{1} \) and \( \l.... 2024-01-29 If \( f(a)=2, f^{\prime}(a) 1, g(a)=-1 ; g^{\prime}(a)=2 \), then \( \lim _{x \rightarrow a} \fr.... 2024-01-29 A light ray coming along the line \( 3 x+4 y=5 \) gets reflected from the line \( a x+b y=1.... 2024-01-29 If \( \lim _{x \rightarrow 1} \frac{x^{4}-1}{x-1}=\lim _{x \rightarrow k} \frac{x^{3}-k^{3}}{x^{.... 2024-01-29 Find the general solution of the equation \( \sin ^{4} x+\cos ^{4} x=\sin x \cos x \).... 2024-01-29 If \( \lim _{x \rightarrow \infty}\left(1+\frac{a}{x}+\frac{b}{x^{2}}\right)^{2 x}=e^{2} \), the.... 2024-01-29 For each \( x \in R \), let \( [x] \) be the greatest integer less than or equal to \( x \.... 2024-01-29 \[\lim _{\theta \rightarrow 0} \frac{e^{\theta}+e^{-\theta}+2 \cos \theta-4}{\theta^{4}}\left(\f.... 2024-01-29 Truth value of the statement if \( p \) then \( q^{\prime \prime} \) is false when.... 2024-01-29 If \( \alpha \) is an imaginary seventh root of unity, then the equation whose roots are \( \alp.... 2024-01-29 If the sum of \( n \) terms of an \( \mathrm{A.P.}\) is \( 2 n+3 n^{2} \). Then its \( r^{\text .... 2024-01-29 One root of the equation \( \cos x-x+\frac{1}{2}=0 \) lies in the interval.... 2024-01-29 \( \cot \theta+\tan \theta=2 \operatorname{cosec} \theta \), then find principle value of \( \th.... 2024-01-29 If \( \left(\frac{1+i}{1-i}\right)^{m / 2}=\left(\frac{1+i}{1-i}\right)^{n / 3}=1(m, n \in N) \).... 2024-01-29 If roots of the equation \( x^{2}-10 a x-11 b=0 \) are \( c \) and \( d \) and those of \( .... 2024-01-29 Seven people leave their bags outside the temple and while returning after worshiping the deity,.... 2024-01-29 If \( \cos (\alpha+\beta)=\frac{3}{5}, \sin (\alpha-\beta)=\frac{5}{13} \) and \( 0<\al....
0