The Problem That FOOLED Top Coaching Centers | JEE Advanced #maths #jeeadvanced #calculus #jee

Added: 2026-05-18

[00:00:00]This is the JEE Advanced question that literally fooled top coaching institutes.

[00:00:05]They all marked option B, but they were wrong.

[00:00:09]Let's look at the beast.

[00:00:11]Options A and D are easy targets.

[00:00:14]Since the sine function makes this term at least one, f of x is always less than two, making x equals zero a maximum, not a minimum.

[00:00:25]D is out.

[00:00:27]And if we use first principles to check the limit, the derivative at is exactly zero.

[00:00:33]So, it is differentiable. A is out.

[00:00:37]Now for the real trap, B versus C.

[00:00:41]Let's find the derivative for x near zero.

[00:00:45]As x approaches zero, these x terms get crushed to zero, leaving us with just cosine of one over x.

[00:00:53]Watch what happens when we graph this.

[00:00:56]As we approach zero, the function goes crazy, oscillating infinitely between positive and negative one.

[00:01:05]So, why did coaching centers fail?

[00:01:08]Option B says it's decreasing, but our graph constantly hits positive one. That's false.

[00:01:16]Option C says it's not increasing.

[00:01:20]Since our derivative constantly drops to negative one, it is absolutely not increasing.

[00:01:26]Option C is the truth.

[00:01:29]The trap is exposed.

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