- #1
Jules18
- 102
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Homework Statement
I need to figure out these limits without using a graphing calculator:
limx-->0Sinx/(x+Tanx)
limx-->0[sqrt(x+4)-2]/x
limx-->1(x6-1)/(x10-1)
The Attempt at a Solution
limx-->0Sinx/(x+Tanx)
I really had no idea about this one.
Maybe there's an identity I'm forgetting about.
limx-->0[sqrt(x+4)-2]/x
For this one, I multiplied the top and bottom by the conjugate of the top, which was
sqrt(x+4) + 2. But it backfired because I ended up with 0/0 as my limit again which
doesn't exist.
limx-->1(x6-1)/(x10-1)
For this one, I used a table of values. I got the right answer, but I'm wondering if there's
any way to do it algebraically.
I would be so thankful for any help at all on these ^_^
~Jules~