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hello here's the problem:we have to find  lim x-> -∞ de f(x)=1+2x+2√(x*2+x-2) my teacher has given us this solution : f(x)= 1 +2x + 2√((x+0.5)*2-9/4)   so...

Let's say you have: if lim x->a f(x) exists, lim x->a g(x) does not exist, could f(x)g(x) exist? By that same vein, if lim x->a f(x) exists, lim x->a g(x) does not exist, could f(x)/g(x)...

Calculate lim x-> -1 (x-1)^4 (-4x^2) I've got the answer which is -64, but I'm asked to state what Limit Laws were used, and not just one but all which were used: I got the Power and Product...

for lim  lim        x3-3x+4 x→2            illiustrate defenition of 2 by finding values of s that correspond to ε=0.2  and...

lim           √(1+t) - √(1-t) x→0                   t   √(1+t) - √(1-t)=     √(1+0)...

lim   (1/n+1 + 1/n+2 + ......... 1/2n) is equal to n→∞  a) 0  b) 1 c) 2 d) loge2 the answer is loge2 , bt howi cant understand, it should be...

It is one of the items in my problem set.  I am enroled at a distance learning program and I see my professor rarely. I hope someone could help.

lim h(t), where h(t)= (cos(t)-1)/(t^2). note that h(t) is even, that is, h(t)=h(-t). t--0   t=  (+-)0.002   (+-)0.0001   (+-)0.00005   (+-)0...

limit as n goes to infinity Σ [i=1, n] (cosx1/x1) Δx, [3Π,4Π]   answer is ∫[3Π,4Π] ... ?   Need help understanding!

Calculate: lim x->0 (sin4x2)/(x2)   I've seen an explanation of the problem and it says the answer is 4. I just don't understand what you're supposed to do after u-substitution...

I was unable to find a method online how to use the δ-ε definition of a limit to prove that the limit is L for a function which includes an absolute value.     My function is    ...