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...Goa university taleigao plateau syllabus for admissions ranking test gu art in mathematics calculus of one variable functions and graphs prerequisites real numbers bounded sets definitions function domain range onto examples graphical representation polynomial rational power where is a yx number x general exponential positive ya y log not equal to unity logarithmic trigonometric sinx cosx tanx cotx secx cosecx inverse arcsinx arccosx arctanx arccotx arcsecx arccosecx absolute value properties the greatest integer sup inf non empty subset s lr theorems on axiom lub limit continuity left right lim f g xc b fg fx c provided gx definition as infinity uniqueness at point an interval types discontinuities if continuous closed then it attains its bounds least once interior fc keeps same sign neighbourhood there exists such that d intermediate theorem e fixed derivative drivability differentiability increasing decreasing higher order derivatives which derivable necessarily page also darboux ro...