1. Prove that every polynomial function. p(x) = a_o+a₁ x+-----+ a_nxⁿ  is continuous on IR ?
2. A rational function is a function f of the form p÷q  polynomial functions. The d are domain of f is {X = IR / q(x)=0}. Prove every rational function is continuous?
3. Prove the function ?x is continuous on its domain [0, infinite)?
4. Prove that if mein then the function f(x)=x^m is continuous on IR ?
5. Let h(x)=[sin² x+cos⁶ x]^{pi ?}
6. ve that every polynomial function. p(x) = a_o+a₁ x+-----+ a_nxⁿ  is continuous on IR ?
7. A rational function is a function f of the form p÷q  polynomial functions. The d are domain of f is {X = IR / q(x)=0}. Prove every rational function is continuous?
8. Prove the function ?x is continuous on its domain [0, infinite)?
9. Prove that if mein then the function f(x)=x^m is continuous on IR ?
10. Let f(x)=2^{x^2 ?}
11. Use that fact that sine, cosse, e\", 2\", longer for x>0 
12. x^{p}for~x>0 ( p is any real number) are continuous
    
    functions on their domains of theorems in this section
    
    to prove following 1) dog (1+cos^{4}x)
    
    functions continuous (2) [sin^{2}x+cos^{6}x]^{\\pi}
    
    3) 22
    
    48*
    
    5) tan x for x? odd multiple of 2
    
    6) X sin (*) for x?0
    
    7> x^{2}sin(\\frac{1}{x}) for x?0
    
    8) *sin (
    
    2) for x? 0