There are around 70 question in my notebook, and the teacher ofcourse had to assign those without answers in the back. I know its a lot but any help would be appreciated.. I just can't seem to figure these limits.
Find the limit (if it doesn't exists, so state that, or use the symbols infinity and -infinity where appropriate.
#12: lim h-->5- (from the left) √(5-h)
my answer (pelase tell me if im correct, if not please explain)
since when h approaches 5 from the left √(5-h) gets closer and closer to 0 .. therefore the limit is 0 ??
16. lim x-->2+(from right) (x √ x^2-4) note** the x^2-4 i under the root
as x gets closer to 2 from the right (x √ x^2-4) gets closer and closer to 0 ?
22. lim x--> ∞ 2x-4 / 3-2x
i read for limits at infinity you take the highest (dominant term) from the numerator and denominator
so 2x / 2x = 1 therefore the limit is 1?
34. lim x--> ∞ (4 - 3x^3) / (x^3-1)
therefore by the same rule 3x^3 / x^3 = 3 therefore the limit is 3?
44. lim x--> -2+ (from right) x / (√ 16-x^4) note** the 16-x^4 is under the root
how would you do this? please explain.
46. lim x --> ∞ ( x + 1/x)
48. lim x--> 1/2 1 / 2x-1
thank you very much for your help.. i know its a lot but i am much obliged.