Homework Statement
lim x-->0 sin(pi/x) sqrt(x^3+x^2)
The Attempt at a Solution
I was having trouble evaluating the above limit. Do I start by isolating x? For some reason, when it comes to trig functions such as this, I'm not sure how to simplify it. Also, what material would I have to...
I see, thank you for the help! the "1 + (fraction)" was what I missed.
Does this mean my second step [h + √(x+h) - √x] / h was wrong?
I'm still not sure how to arrive at your first step, the "1 + (fraction)". However, everything else makes sense now!
I've been having trouble figuring out how to find the derivative of f(x) = x + √x
The farthest I got was:
[(x+h) + √(x+h) - (x+√x)]/h =
[h + √(x+h) - √x] / h
I got stuck here because I'm not sure how to cancel out h in numerator and denominator (if i can even do that at this stage)...