True or false? Please show steps Hint: both can be true or false as well. 1 I. I

Question

True or false? Please show steps Hint: both can be true or false as well. 1 I. If lim for) does not exist then frydr diverges ll. f fordr diverges, then m for) does not exist. a) l only b) ll only c) I and II d) neither I nor ll. 2. I. lf lim for) exists and fordr converges, then lim -o. ll. If lim for 1, then j fordr diverges. a) l only b) II only c)land II d) neither I nor ll. 3. If fa) is continuous on la, bl.then j exists. ll. If j fox)da exists, then fox is continuous on la, b] a) l only b) ll only c) l and ll d) neither l nor ll. 4. I. If f(r) is continuous and even on a) l only b) ll only c) I and II d) neither I nor II.

Explanation / Answer

1. If limit does not exists then the integral does not converges or it divergess.

And if integral diverges it means limit does not exists.

Hence both are true.

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