Let f be a differentiable function from (0,infinity) to R such that f(x)-f(y) is..[Jee Mains, 2024]
This video explains the solution of the following problem: Let f be a differentiable function from (0,infinity) to R such that f(x)-f(y) is greater than or equal to loge(x/y)+x-y for all x,y in (0,infinity). Find the sum(n=1 to 20) f'(1/n^2). #jee #jeemains2024 #maths #mathematics #class11thmathematics #limitsandderivatives
![Let k be in R. If lim(x going to 0+) (Sin(Sin(kx))+Cos(x)+x)^(2/x)=e^6. Find k. [Jee Advanced 2024]](https://i.ytimg.com/vi/WQQ1N_9j9ds/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLD45skwilO7M7NS_rStpq0XHi4yBg)
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Let k be in R. If lim(x going to 0+) (Sin(Sin(kx))+Cos(x)+x)^(2/x)=e^6. Find k. [Jee Advanced 2024]

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![For any non-zero complex number z, let arg(z) denote the principal argument..[Jee Advanced Question]](https://i.ytimg.com/vi/gdMvrkcBsXM/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLCereipDPwcdvXQts1BTUWBdRv10A)
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For any non-zero complex number z, let arg(z) denote the principal argument..[Jee Advanced Question]
![Let R be the set of all real numbers. Let f:R to R and g:R to (0,4) be...[Jee Advanced-2025,Paper-2]](https://i.ytimg.com/vi/fpcavs8bzKY/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLDmn6sdG1T5zTzavMoujUfDgL5NmA)
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Let R be the set of all real numbers. Let f:R to R and g:R to (0,4) be...[Jee Advanced-2025,Paper-2]

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