Respected sir I have analysed like this if I am wrong please correct me Consider the function "greatest integer x divided by (1 + x squared)", where "greatest integer x" represents the greatest integer less than or equal to x. The graph of this function is wavy, as the greatest integer function creates step-like behavior, while the (1 + x squared) term is smooth and decreasing. Between x = 2 and x = 6, the value of the greatest integer function "floor of x" changes in steps. For each interval between successive integers (for example, from x = 2 to x = 3, x = 3 to x = 4, etc.), the value of the function is multiplied by a constant, causing the curve to rise in steps. This happens because the value of "floor of x" increases by 1 in each of these intervals. The function is continuous but exhibits a step-wise behavior, where it gradually increases between successive integers. Based on this, we can infer that the function reaches a maximum value at x = 2 (the left endpoint of the interval) and a minimum value at x = 6 (the right endpoint of the interval). Therefore, by examining the behavior of the function at these extreme values, we can determine the correct values for the function
@@factorialacademy sir thanks a lot I'm your fan even though you (must be) are younger to me( I'm 50 years now ) I'm really impressed by your logic the tone of explaining and knowledge 👏 I've become your disciple Thanks Sir Prof Venkataramaiah bangalore
Sir🙏🏻 This just made my day! Thank you so much for your kind words! Your words of appreciation always go a long way for me! I hope we stay connected for a long time and meet someday. Thankyou🙏🏻
Respected sir I have analysed like this if I am wrong please correct me
Consider the function "greatest integer x divided by (1 + x squared)", where "greatest integer x" represents the greatest integer less than or equal to x. The graph of this function is wavy, as the greatest integer function creates step-like behavior, while the (1 + x squared) term is smooth and decreasing.
Between x = 2 and x = 6, the value of the greatest integer function "floor of x" changes in steps. For each interval between successive integers (for example, from x = 2 to x = 3, x = 3 to x = 4, etc.), the value of the function is multiplied by a constant, causing the curve to rise in steps. This happens because the value of "floor of x" increases by 1 in each of these intervals.
The function is continuous but exhibits a step-wise behavior, where it gradually increases between successive integers. Based on this, we can infer that the function reaches a maximum value at x = 2 (the left endpoint of the interval) and a minimum value at x = 6 (the right endpoint of the interval). Therefore, by examining the behavior of the function at these extreme values, we can determine the correct values for the function
Yes sir! Its correct 👍
🙏🏻
@@factorialacademy sir thanks
a lot
I'm your fan even though you (must be) are younger to me( I'm 50 years now )
I'm really impressed by your logic the tone of explaining and knowledge 👏
I've become your disciple
Thanks
Sir
Prof Venkataramaiah bangalore
Sir🙏🏻 This just made my day!
Thank you so much for your kind words! Your words of appreciation always go a long way for me! I hope we stay connected for a long time and meet someday. Thankyou🙏🏻
Thank you sir for this amazing content.
Most welcome
Plz.. sir coordinate geometry ki one shot video 🙏🙏
Haan
even sir my and your approch
matched a;ll done
Great!
8:16
🙂