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- Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) (x2 + y2)/((x2 + y2+25)^(1/2)-5)Find the limit; if the limit does not exist, give the answer ”+∞”, ”−∞”, or ”DNE”, whichever is most appropriate. lim t→(2) (3t^2−7t+ 2) / (2−t) Give clear steps and explanations.Evaluate the limit. lim?→0?3+17‾‾‾‾‾‾‾√sin(?)?limt→0t3+17sin(t)t
- Evaluate the limit, using L'Hôpital's Rule. Enter INF for ∞ , -INF for −∞ or DNE if the limit does not exist, but is neither ∞∞ nor −∞ lim?→−4 t^2−16/2t^2+6t−8Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(2, 1) (8x3 − x2y2)Find the limit; if the limit does not exist, give the answer ”+∞”, ”−∞”, or ”DNE”, whichever is most appropriate. lim x→(∞) (16x^(3) + 2x^(2) −5) / (2x^(4)+ 7x^(2)) Give clear steps and explanations.
- 15.2.79 #24 Find the limit of f as (x,y)→(0,0)or show that the limit does not exist. Consider converting the function to polar coordinates to make finding the limit easier. f(x,y)=x^3−xy^2/x^2+y^2Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→−9 (t2 − 81)/(2t2 + 19t + 9)Consider the greatest integer [x] a) Find its limit at 4 , b) Find it at 4-.c) What do we get if we plug in a [4]?d) Since the limit DNE and hence doesn’t equal [4], what does this tell us?
- Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) xy/square root x2 + y2Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim h→0 8h2 + h 3h2 + 3h - ________________ If the limit does not exist, say why. (If the limit does exist, so state.) -The limit does not exist because one side diverges to ∞ and the other side diverges to −∞. -The limit does not exist because only one of the left or right limits exists as a finite value. -The limit does not exist because the left and right limits exist but are not the same finite value. -The limit does not exist because it diverges to ∞ or −∞. -The limit does exist and is a finite number.Calculate the limit at (1, 2, 3) ? (?, ?) = x 2 y tan (xz) ------------------------------------------------ CHOOSE THE ANSWER 1) -10.48 2) -0.2851 3) 0.21 4) NONE IS CORRECT