Q1) find the limit of the function by using direct substitution.: limit as x approaches quantity pi divided by two of quantity three times e to the x times cosine of x. q2)find the limit of the function by using direct substitution: limit as x approaches zero of quantity x squared minus one. q3)find the limit of the function algebraically: limit as x approaches zero of quantity x squared plus three divided by x to the fourth power. answer asap u so much! this is super important!

Q1)
For the first question, the function is 
                                  f(x)=3eˣ * cos(x)
Now, 
         
By direct substitution of π/2,
we get,
         =    , as cos(π/2)=0
         = 0 

Q2)
For the second question, the function is 
                         f(x)= x²-1
Now,
           
By direct substitution,
         the square term will be zero and the answer is -1
            = 0 -1
            =-1
Q3)
For the third question, the function is
                                     f(x)=x²+3/x⁴
Now,
                       
                =  
Now, by using the property of limit separate the limit with both x² and 3/x⁴
the x² term will be zero and the second term will approach infinity.
                = 
                = infinity   is the correct answer.

         
                        

The density of the cube is 40

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