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...Tel aviv university faculty of engineering school electrical differential and integral methods before real valued functions the domain range graphs shifting increasing decreasing inverse composite elementary linear quadratic polynomials power exponential logarithmic trigonometric hyperbolic absolute value integer informal definition limit continuous number e as a sin x divided by continuity function using sequences epsilon delta one sided limits intermediate theorem its existence extremum derivative tangent slope velocity normal lines to calculating derivatives negative powers cos differentiation rules tan chain rule rational sinh cosh tanh arcsinh arccosh arctanh in parametrizations plain curves their rolle theorems lagrange cauchy linearization differentials taylor s formula with remainder series proof application l hopital binomial sufficient condition an investigation complex numbers euler representation indefinite formulas definite area darboux integrals fundamental calculus evalu...