Calculus problems


1) Continuity




f(x)=(x+3x^5)^3 , a=-1




2) Find vertical/horizontal asymptote




f(x) (x^2+3x+1)/(4x^2-9)




3) Squeeze Thrm




lim x->0 , x^4 Cos(5/x)




4) What value of constant is the function continuous on (-∞,∞)




f(x)= cx^2+4x if x<3 , x^3-cx is x≥3




5) Intermediate Value THRM




x^4+x-5 show that there is a root




6) LIMITS




lim x -> 0 (sqrt(25+x)-5)/x






show all work! should take 10 minutes

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