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The book covers the required calculus concepts at this level and the strategies for solving the problems by breaking them down into easily manageable steps. Iitjee main and advanced differential calculus algebra trigonometry. Fundamental rules for differentiation, tangents and normals, asymptotes, curvature, envelopes, curve tracing, properties of special curves, successive differentiation, rolles theorem and taylors theorem, maxima and minima, indeterminate forms. Limits and continuity, differentiation rules, applications of differentiation, curve sketching, mean value theorem, antiderivatives and differential equations, parametric equations and polar coordinates, true or false and multiple choice problems. Class time will be used for problem solving and presentation by students. Let us factorize the numerator and the denominator of the function x x x 1 x x x 1 lim 3 2 3 2 x 1 x x 1 x 1 x x 1 x 1 lim 2 2 x 1 2 x1 2.

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