lim x → ∞ (nx+1) / ((x+1)!)

lim x → ∞ (nx+1) / ((x+1)!)

lim x → ∞ (nx+1) / ((x+1)!)

lim-> 0( tan^3 x - tan (x^3))/(x^5) how do i solve this problem... do i need to use L'hopital rule or is there any other way too

I have a problem on limits. The graph shows two very different equations approaching the same point, but at that point (x=4) there is a hole. Below the hole there is a point at (4,2). What is the...

How can I transform −λ△t= (N(t+△t)−N(t)) / (△t) into the formula dN/dt=−λN using limits? This is in relation to radioactive decay for those that are wondering, thank you for your help and time...

Let A= a b c d be an arbitrary 2x2 matrix. Let xn ⊆ R2 and suppose that (xn)→x for some x∈R2. Prove that (Axn)→Ax

Confused on how to do the Definition of A Derivative.

Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) lim (x->infinity) ((24 x^4 - x^3 + x + 8)/(8 x^4 + 2 x^3 + x^2 +...

How do I go about proving limits for given sequences and series, for example how would i prove that the limit when x tends to infinity of n^(1/n)=1?

Find each limit by evaluating the derivative of the function limh→0 ((3(2+h)2-(2+h)-10))/h

To solve a limit as x is approaching 0 while the function is x / (sin3x), what is the step by step process...? I've seen many sites online that go through this problem, yet is completely confusing...

Find the limit as "x" approaches 3 F(x)= (2x2-3ax+x-a-1)/ x2-2x-3 **I already know that if you substitute in 3 for x, the denominator will be 0 and therefore it cannot exist...

Find the limit as x goes to 0: (ln(1+x2)-x(arctan(x)))/(x(sin(x)-x)) At first the fraction found is 0/0, but applying L'Hopitals rule, when differentiated...

Any hints on how to prove this? What can we use a a proper subsequence, knowing that a proper subsequence is any subsequence except for the sequence it self.

an=e(-1/sqrt(n)) Apparently in converges and the limit is 1 but I'm not really sure how to do this type of problem with a limit of ex {n2e-n} Limit converges to 0? How?...

limx-->infinity (square root(9x2+x) - 3x)

we are working with trigonometric limits

With steps please using the epsilom-delta definition

The question follows: We model the pizza contained in the unit square S = {(x,y) : 0<=x,y<=1}. Prove that the function f(z) is continous on its domain which is [0,1]. by using eplison - delta...

lim x->-pi/2 (1+ cos (2x))/(2x+ pi )^2