1- let f(x)=x/1+x. then which of the following is a point of discontinuity of f and what is the type of discontinuity at that point ? -a=0 removable discontinuity -a=-1 essential discontinuity -a=1 jump discontinuity -a=-1 removable discontinuity -a=0 infinite discontiunity
EXPLAİN İS İMPORTANT.
1- let f(x)=x/1+x. then which of the following is a point of discontinuity of f and what is the type of discontinuity at that point ?
-a=0 removable discontinuity
-a=-1 essential discontinuity
-a=1 jump discontinuity
-a=-1 removable discontinuity
-a=0 infinite discontiunity
2-consider the uniformly continuous function f(X)=√x [0,1]. for a given ε>0 , what is the largest value of δ>0 in the definition of uniform contiunity?
-ε
-ε^2
-√ε
-ε/2
-ε-2
3-assume that y=p(X) is a polynomial of odd degree. then it can be shown that y=p(x) must have at least one real root. which of the following result can be used to justify this statement?
-extreme value th.
-intermediate valu th.
-mean value th.
-the sequential characterization th.
-none of the above.
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