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


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

show all work! should take 10 minutes
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