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Question 1. If sinα=12,   α∈(12π,32π),   then
a) tgα=-1  
b) tgα=-33  
c) tgα=33  
d) tgα   is not defined
e) tgα=0  
Question 2. Determine limn→∞(n+1)3-n(n2+3)n+1000.  
a) +∞  
b) 1  
c) 11000  
d) 3  
e) 0  
Question 3. The maximal domain of definition of the function f(x)=log(1+cosx)   is
a) ℝ-⋃k∈ℤ{kπ2}  
b) ℝ-⋃k∈ℤ{(2k+1)π}  
c) ℝ  
d) ℝ-⋃k∈ℤ{12π+2kπ}  
e) ℝ-⋃k∈ℤ{32π+2kπ}  
Question 4. Calculate limx→0ln(arccotg1x2).  
a) 1  
b) -∞  
c) +∞  
d) 0  
e) lnπ  

Evaluate