Let y=f(x)= sin ³((π)/3(cos ((π)/(3 √(2))(-4 x³+5 x²+1)^(3/2)))). Then, at x = 1,

Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 31 Jan, Morning shift · Q3673

JEE Main 202331 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

y=f(x)=\sin ^{3}\left(\frac{\pi}{3}\left(\cos \left(\frac{\pi}{3 \sqrt{2}}\left(-4 x^{3}+5 x^{2}+1\right)^{\frac{3}{2}}\right)\right)\right)

. Then, at x = 1,

JEE Main 2023 · 31 Jan, Morning shift · Q3673

JEE Main 202331 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

y=f(x)=\sin ^{3}\left(\frac{\pi}{3}\left(\cos \left(\frac{\pi}{3 \sqrt{2}}\left(-4 x^{3}+5 x^{2}+1\right)^{\frac{3}{2}}\right)\right)\right)

. Then, at x = 1,