TRUE OR FALSE

10. If f is a continuous function, and f(x1) and f(x2) have opposite signs, then the function f has a root in the interval (X1, X2). 11. It is possible to find an exact area under the graph f(x)=1/x, bounded by x=0 and x=1. 12. You can always use bisection algorithm to find a root of a continuous function. 13. If a continuous function f(x) has a root at x=a, then there exists a number & such that f(a- =) and f(at =) have opposite sign. lim f (x) # lim / (x) lim f(x) 14. If the *-a , then does not exist. 15. If f(x) is always bounded between the two functions, h(x)=x*+2, and g(x)=2x +1, then lim