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Elementary Investigation of Functions
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abscissa absolute value absolutely convergent algebraic analytic angle approximate value arctan argument asymptote called circle co-ordinate coefficients constant continuous function convergent convex corresponding curvature curve curvilinear trapezoid decreasing defined definite integral derivative differential domain of definition elementary functions equal equation example exists exponential function expression fact ff(x)dx finite number formula fraction func function f(x geometrical given graph Hence improper integral increasing increment indefinitely independent variable inequality infinitely large magnitude infinitesimal infinity integrand inverse inverse function inverse trigonometric functions length Let us find limit mathematical analysis maximum error method monotonic negative neighbourhood obtained ordinate parabola parameter point of inflexion point x0 polynomial positive number Proof prove radius rate of change rational function real axis segment sinx straight line sub-interval tangent Taylor series tends to zero theorem trapezoid trigonometric functions vanishes velocity whilst