precalculus II need help with this question

H(x ) - X5 - x2 + X 4 x3+2x2 C) Does H (x) have any y-intercepts? Explain without using a graph. d) Are there any holes in the graph? Explain without using a graph. e) Long-run behavior. Since the degree of the numerator of H is larger than the degree of the denominator, what does this say about the existence of horizontal asymptotes? Determine the following limits algebraically without referring to the graph of H (x). [See lecture notes for $3.6, part 2 posted on Oct. 19 for help.] lim 25-x2+x -+00 4x3+2x2 lim x5-x2+x x-+-00 4x3+2x2