lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √√√y+3 lim (x,y)→(9,6) x-y-3 x+y+3 C

Q: Evaluate the following limits, where c and k are constants.

A: Factorise the equation in numerator by splitting the middle term and the equation in denominator by…

Q: om the table, determine the following limits. I-5 1. lim I-3- I-3 HI5 4. lim I-3- r2 - 6r +9 5. lim…

A:

Q: Provide an appropriate response. Given that x > 0, find the maximum value, if any, of x-x".

A: Given that x>0. We have to find the maximum value of  x1x5.

Q: Let f (x) = (x – 4)²/3_ Find the intervals on which f is increasing and decreasing.

A:

Q: Evaluate the following limits. I lim x-3-2-3 lim x3+x-3 I lim 1-3 2-3 || To Po

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Q: Find the following limits : 1+2 +3+...+x 4) lim X00 x2

A: Ans:  We have to Evaluate  the limit              limx→∞ 1+2+3+‐‐‐+xx2

Q: Evaluate the following limits, where c and k are constants.

A: To evaluate: limx→2(1x-2-2x2-2x) Solution: Given ,limx→2(1x-2-2x2-2x) On simplifying further we get:…

Q: Xチ 3/19 1-( x+1) メ→。

A:

Q: 6- 5- 3- 2 1 -2 -1 1\2 3 4 5 -1 Figure 1 4.

A: Consider the graph of f(x)

Q: 2. Evalucte the foll owing limits. use algebraic opproach. DO NOT UIe tables. lim 2 +4 a. 2→-4 8?16

A: We see that limit is in Indeterminate form, To find that Using some algebra and then evaluate them.

Q: Which of the following concepts of infinity on limits is NOT TRUE? a. A real number added to or…

A: Explanation of the answer is as follows

Q: 15 + 3 — т7 3. lim 4л2 + 2л — 9

A: We have to find the value of limit

Q: Evaluate the following limits, where c and k are constants.

A:

Q: Evaluate the limit: lim X-7 X+7. O A) O O B) 1 O C) -o D) +00

A:

Q: ; 6) lim

A:

Q: Vミ-2 lim ミー→4 -4

A: Let, L=limz→ 4z-2z-4Rationalize Numerator L=limz→ 4z-2z-4z+2z+2 L=limz→ 4z-4(z-4)(z+2)L=limz→…

Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

A:

Q: Evaluate the following limits.

A: