I completely lost. Some people have suggested L'Hospital's Rule and some other stuff that my class hasn't covered. Right now, the teacher simply wants us to solve algebraically, not using some special properties. For example, in
lim x-->0 of sin2x / x I multiplied the top and the bottom by 2, making 2sin2x/2x, can celling the sin2x/2x, and leaving 2, so the limit was = 2. Something similar has to be done with these problems, thing is, I have no clue what to do.
remember that
sinx/x = 1 and 1-cosx/x = 0
I also don't know how to algebraically solve these 2 (and by the way, this is not homework, just practice for an upcoming test)
#3:
what is [ lim x-->0 ] the limit of ( sin^2(x) ) / (x) ?
#4
what is [ lim x-->0 ] the limit of ( x^2 ) / ( 1-cos(x) ) ?
and of course, the one in the actual question,
what is [ lim x-->0 ] the limit of ( x + sin(x) ) / (x) ?
2007-09-05
17:06:02
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5 answers
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asked by
gatortheone
1
in
Mathematics