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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%)

jee_main_2025_07_april_evening - Limits, Continuity and Differentiability Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #58 Polynomial Limits and Extrema
Let f: mathbfR to mathbfR be a polynomial function of degree four having extreme values at x = 4 and x = 5. If lim_mathbfxto 0fracf(mathbfx)mathbfx^2 = 5, then f(2) is equal to :
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QUESTION #71 Continuity of Functions
If the function f(x) = fractan(tan x) - sin(sin x)tan x - sin 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 alpha_t and beta_t be the roots of the equation left(left(t + 2right) ^ frac 17 - 1right) x ^ 2 + left(left(t + 2right) ^ frac 16 - 1right) x + left(left(t + 2right) ^ frac 12 1 - 1right) = 0. If lim_t rightarrow - 1 ^+ alpha_ t = a and lim_t rightarrow - 1 ^+ beta_ t = b, then 72 (a + b) ^ 2 is equal to
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