7. [-/6.66 Points] DETAILS MY NOTES SCALCET9 5.2.026. Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. lim n n→ ∞ i=1 dx 1° (x² + 1 ) dr 5 ) Need Help? Read It Watch It Submit Answer

Use L' Hopital's Rule to find the limit as x approaches positive infinity of:  x/(e^x) Have a good day!

Let fn: R --> R be defined by : fn(x)= x/(1+nx2), For all n >= 1. a) Show that {fn} converges uniformly on R to a function f. b) Show that f'(x) = limn -->infinity f'n(x), For all x does not = 0, but this equality is false for x = 0. c)What assumption in the theorem on the interchange of the limit and thederivative is missing? I am stuck with that last part (C).

Evaluate the limit using L'Hôpital's rule.limx→0  ex+2x−1/9x

What go in the blank as limit approaches 0:

1e. Use L'Hopital's Rule to find the Limit: lim (1+4x)3/pi x->0

Consider the following.   Find the indefinite integral and set up the limit that will be used to evaluate the improper integral. lim a→∞     Evaluate the improper integral if it converges. (If the quantity diverges, enter DIVERGES.)

Evaluate the limit using L'Hospital's rule.    limit of 4cos(3x)sec(-7x)  as x approaches pi/2

4.4-Number 62, please. Find the limit. Use l’Hopsital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s rule doesn’t apply, explain why.

Prove: the limit as x approaches 0 1-cos(x)/x=0