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- 9. Find the value of a such that exists and find the limit. limx-> -1 (2x2-ax-14)/(x2 -2x-3)4. Find the limit, if it exists, or show that the limit does not exist: lim(x,y)→(1,−1) 3^−xy cos(x + y)Evaluate the limit lim n→ ∞ √( 9n^4)+13n^3-5n-10 / -√( 25n^16)+5n^2-9n Also find the asymptotic value of above limit
- 1a. Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim t-> -∞ ( (6t^2+t)/(t^3-7t+1)) 1b. Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim u-> -∞ ((u^2+1)(8u^2-1)) /(u^2+9)^2 1c.Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim x-> ∞ sqrt(x+6x^2)/(8x-1)1c. Use L'Hopital's Rule to find the Limit: lim (1 - x)tan(pix/2) x->1-Evaluate the limit limx→2(1x−2−4x2−22)limx→2(1x−2−4x2−22) Enter I for ∞∞, -I for −∞−∞, and DNE if the limit does not exist. Limit =
- Find the limit or determine that the limit does not exist limx→0 (1/(x 3 √1+x)-(1/x))1 + x is all under the square root (x3 √1+x)is all in the denominator under 1 however -(1/x) is another fraction in the function.Using the elpison delta defination of a limit prove that the limit of (5x+7)=2 as x approaches -1 existsFind the limit: limx→0 x3sin(1/3x3)
- 1a. Use L'Hopital's Rule to find the Limit: lim (xsinx + x2 - 4x2)/x - 2pi x->2pi1.Prove it by definition of limit. 2.find the horizontal asymptote2.(8) Use analytic methods to evaluate the following limit. Enter ONE If the limit fails to exist, except in case of an infinite limit. If an Inflnite limit exists, enter so or - 60, as appropriate.