1.

# + 4*#^2+9*#^3+16*#^4.... =6

i re wrote it so it looks like this # +2^2 * #^2 + 3^2 * #^3 = 4^2 * #^4

Looks like a taylor series. Series of 1 over 1-x? but how do i apply that?

2.

lim (1+#x)^#/x = 4

x-0

for 2 i was really confused. I was thinking of appyling the natrual log so i would get ln #/x (1+#x) and apply L'Hopital's rule to that but i dont think thats the correct method.

Sorry im just really confused because I never worked problems like these (fill in the blank) before. Any help would be apperciated.