Calculus Question
1) Evaluate lim ((1/x1) + (1/(x+1)) / x
x>0
Don't use derivatives for #1
2)Where is the function f(x) =  ln(x)+(sin(e^x)/x^2+5) 
defined, and where is it continuous ?
3) Determine where the function f(x) = (x^2+5x+6)/(x+3) is discontinuous, and define a continuous extension g of f.
4) I KNOW THE ANSWER FOR THIS BUT DON'T KNOW WHAT IT IS ASKING FOR ?
Suppose that x^26x3 <= f(x) <= sqrt(9x^2) on
[0,3]. Give upper and lower bounds for lim x>0+ f(x) and lim x>3^ f(x)
lim (x^2  6x  3) = 3 as x > 0+
lim v(9  x^2) = 3 as x >0+
3 = f(x) = 3
lim (x^2  6x  3) = 12 as x > 3
lim v(9  x^2) > 0 as x > 3
12 = f(x) = 0
(What is the upper bound and lower bound ? I don't know that.)
thanks....please answer these four questions perfectly. Only answer them if ur 100% sure.
