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- lim x-->3 f(x)=8 and lim x--->3 g(x)= -4 1) limx--->3 (3f(x)-5g(x)) 2) lim x---> G(x)^3 + 50 / ( 5f(x)^(2/3) )Hei what is the :lim x→-2 (x^2 +3x+1)/x+2 is ?3. Evaluate lim x→5 √x+4-3/ x-5. Show your complete solution. 4. Evaluate lim x→1 x-1/ √x-1. Show your complete solution. 5. Prove that lim t→-2 √1-t3/t +3/2 / t+2= 1/4. Show your complete solution.
- If lim f(x)=-2 x-->0+, lim f(x)=3 x-->0-, and f(0)=-2, what can you say about lim f(x) x-->0?2. Let g(x)= {-1/5x + 2, x<0 -2, x=0 x+2, x>0. Does the lim g(x) x→0 exist? If yes, give its value. If not, why?A. Find lim x->4^+ and lim x->4^- B. Does lim x->4 f(x) exist C. Find lim x->5^+ & lim x->5^- D. Does lim x->5 f(x) exist
- f(−3)f(-3) is defined. limx→−3 f(x)limx→-3 f(x) exists. limx→−3 f(x)=f(−3)limx→-3 f(x)=f(-3). The function is continuous at x = -3. The function is not continuous at x = -3. Please note it can be more than one answerlim of fx/gx as x approaches -2 from the left and right.What are limx→+-∞ k (k a constant) and limx→+-∞ (1/x)? How doyou extend these results to other functions? Give examples.