jee_main_2025_07_april_evening - Limits, Continuity and Differentiability Topics

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QUESTION #58 Polynomial Limits and Extrema
Let f: R → R be a polynomial function of degree four having extreme values at x = 4 and x = 5. If x→ 0 f(x)x² = 5, then f(2) is equal to :
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QUESTION #71 Continuity of Functions
If the function f(x) = ( ( x) - ( x))/( x - x) is continuous at x = 0, then f(0) is equal to ________.
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QUESTION #73 Limits of Roots and Functions
For t > -1, let αₜ and βₜ be the roots of the equation ((t + 2) ^ (1)/(7) - 1) x ^ 2 + ((t + 2) ^ (1)/(6) - 1) x + ((t + 2) ^ (1)/(2 1) - 1) = 0. If t arrow - 1 ⁺ α_ t = a and t arrow - 1 ⁺ β_ t = b, then 72 (a + b) ^ 2 is equal to
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Rankbit System
JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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