Please help on finding limits? 1) Find: lim (x--infinity) 9x^4+3/4x^4 A) 3/4 B) 4/9 C) 9/4 D) 0 Please explain step by step. I'm really interested in learning how to solve this. Thank you 4) -2sqrt(x)+6/9-x A) 0.9 B) 0.1 C) -0.4 (this is the one I believe is correct from what I tried to do) D) 0.4 Please explain step by step also. I have a TI-83 Plus.

Question

Please help on finding limits? 

1) Find: lim (x-->infinity) 9x^4+3/4x^4 

A) 3/4 
B) 4/9 
C) 9/4 
D) 0 

Please explain step by step. I'm really interested in learning how to solve this. Thank you <3 

2) Use a graphing calculator to find the value of the limit (use radians with trigonometric functions) 

lim (x-->4) -2sqrt(x)+6/9-x 

A) 0.9 
B) 0.1 
C) -0.4 (this is the one I believe is correct from what I tried to do) 
D) 0.4 

Please explain step by step also. I have a TI-83 Plus.

solomonzelman · Answer

1)  L'H'S

zarkon · Answer

$$\frac{9x^4+3}{4x^4}=\frac{9x^4}{4x^4}+\frac{3}{4x^4}=\frac{9}{4}+\frac{3}{4x^4}$$