Find the proof limit LIM (x, y) - > (0,0) (x ^ 2 * sin ^ 2Y) / x ^ 2 + 9y ^ 2 = 0 If the problem is solved, prove that the limit = 0

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• 1. Find the limit of LIM [sin (x ^ 2-1)] / (x-1) x tending to 1
• 2. Whether the radius and area of a circle are in direct proportion; whether the side length and perimeter of a square are in direct proportion;
• 3. Given that a, x1, X2 and B are equal difference sequence, a, Y1, Y2 and B are equal ratio sequence, find (x1 + x2) / (y1y2) Such as the title The answer is (a + b) / (AB)?
• 4. A rectangle is 80 cm long. Cut out the largest square. Find the perimeter of the remaining figure
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• 6. The teacher's kitchen is 30 decimeters long and 24 decimeters wide Would you please help me to think about it, how many decimeters of square tiles are needed to make it neat and fast?
• 7. The definite integral ln (x + (a ^ 2 + x ^ 2) ^ (1 / 2)) DX ranges from 0 to a
• 8. Cut the largest circle with a rectangular piece of paper 10 cm long and 8 cm wide, The radius of this circle is () cm, the perimeter is (), and the area is ()
• 9. Given the function f (x) = 2cos (π 3 − x2) (1) find the monotone increasing interval of F (x); & nbsp; (2) find the maximum and minimum of F (x) if x ∈ [- π, π]
• 10. It is proved that f (x) = - 1 / X-1 is an increasing function on (- OO, 0)
• 11. The limit LIM (x ^ 2Y ^ 2) / x ^ 2 + y ^ 2 + (X-Y) ^ 2 (x, y) tends to 0
• 12. Find the limit LIM (x, y) → (0,0) x ^ 2Y ^ 2 / (x ^ 2 + y ^ 2) ^ (3 / 2) With the pinch theorem, why can't we use x ^ 2 + y ^ 2 > 2XY
• 13. Lim x ^ 2Y ^ 2 / x ^ 2Y ^ 2 + (X-Y) ^ 2 (x, y) - (0,0) limit Does not exist. Let y = KX, x ^ 2Y ^ 2 / (x ^ 2Y ^ 2 + (X-Y) ^ 2) = k ^ 2x ^ 4 / (k ^ 2x ^ 4 + (1-k) ^ 2x ^ 2) When k = 1, the limit is 1 When k is not equal to 1, the limit is 0 or infinite Do not understand the above when k is not equal to 1, how to find the limit? Distant friends
• 14. How to find the limit of LIM x ^ 2Y ^ 2 / x ^ 2Y ^ 2 + (X-Y) ^ 2 lim x^2y^2/x^2y^2+(x-y)^2 (x,y)-(0,0) How to find the limit
• 15. When x tends to ∞, Lim √ (X & # 178; + 1) - √ (X & # 178; - 1) =?
• 16. Find the limit, LIM (x tends to 0) [1-cos (1-cosx)] / X & # 178; (arcsinx) &# 178;, a problem, kneel down for a master!
• 17. lim x²e^1/x²
• 18. High number, find the limit LIM (x tends to 0) INX / x =?
• 19. X tends to 0, find the limit LIM ((tankx) / (xsinx))
• 20. How to find the limit of LIM (x →∞) (1 + 5 / x) ^ 2x?