InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Statement-1 : `lim_(xrarr oo) ((x+1)^10+(x+2)^10+.....+(x+100)^(10)10)/(x^10+9^10)` Statement -2 : If `f(x)and g(x) ` are polynomials of same degree, then `lim_(xrarroo) (f(x))/(g(x))=("Coefficient of leading term in" f(x))/("Coefficient of leading term in" g(x))`A. Statement -1 is true, Statement-2 is true,, Statement-2 is a correct explanation for Statement-1.B. Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for statement -1.C. Statement-1 is true, Statement-2 is False.D. Statement-1 is False, Statement-2 is true. |
|
Answer» Correct Answer - A Clearly, statement-2 is true (See Theory on page 34.9) . Now, `lim_(xto oo) ((x+1)^10+(x+2)^10+.....+(x+100)^(10))/(x^10+9^10)` `=lim_(xtooo) (100x^100 +.^10C_1(1+2+.....+100)x^9+.....+(1^10+2^10+......100^10))/(x^10+9^10)` `=(100)/(1)=100` [Using statement -2] |
|