x² – 2x Evaluate lim x→3 x2 – 9

Q: ー2 a) lim X >6 (x-6)3 b) lim E) ゼ+t

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Q: 2. 2xy lim (x.y)-(0,0) x² + 2y6

A:

Q: Q. 1. Evaluate the following -x* +3x +5x –18 a) lim 5x – 2x-0.5 Vx² +15 –4 b) lim x-1

A: We have to calculate the limit

Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

Q: lim Vx +3x+6 -2 -2.1 -2.01 -2.001 -2 -1.999 -1.99 -1.9 f(x)

A: limx→-2x4+3x+6 Here, fx=x4+3x+6 When x=-2.1, f-2.1=-2.14+3-2.1+6=4.375854 When x=-2.01,…

Q: b ax + x2 Evaluate lim where a>0

A: Limit of given function is solved.

Q: Q2)Evaluating lim (x Cotx)= a)=0 b)=1 d) dosenot exist

A: We have to find limit

Q: y e 1. Evaluate lim x0 x* + y

A: Evaluate the limit of the function x2y/(x4+y2) when x and h tends to 0.

Q: 2x + 3 Let f(x) Find lim f'(x) x + 4

A: Given function is fx=2x+3x+4. To find: limx→5f-1x Solution: Given function can be written as:…

Q: X (b) lim 0 DO (c) lim xln 1

A: (b). Given: limx→0+lnxx

Q: x²+3x Evaluate the following lim numerically. x→T L/x+1-2x²

A: we have to calculate limit

Q: Vx+4-Vx2+x+4 7. lim x-0

A: Explanation and solutions is given below....

Q: (x²+5x – 6 Evaluate: lim x-1 А) 5 B limit does not exist (c) 3 D) 7

A:

Q: x² - 7x y +12y Evaluate lim(x,y)→(3,1) х- Зу

A: The given expression is limx,y→3,1x2-7xy+12y2x-3y

Q: e7x + e-7x _ 2 lim x → 0 5 x2

A: Evaluate the given limit as follows. limx→0e7x+e-7x-25x2=e70+e-70-2502=1+1-20=00 Since 00 is an…

Q: x² + 2ix + 3 lim 1² +1 lim ol z) do not e

A: Using L'Hôpital's rule,

Q: x² 18. f(x) x + 3 (A) lim_f(x) (В) m (x) (C) lim f(x) x→-3 x-3'

A:

Q: (금 1 Evaluate L = lim T→2 + x² – 5x + 6 -

A:

Q: x2 + 8x + 15 if x 2. Find lim f(x). x-2+

A:

Q: 1+t-V1-t lim

A: To evaluate: limt→01+t-1-tt   if we substitute t=0, we get 00 (indeterminate form)   Consider…

Q: x + y – 2 Evaluate lim (r,y)→(1,1) x² + y² + 2xy – 4

A: To find:-

Q: 3. y = f(x) 4 6. -1 lim f(x) =

A:

Q: 12. Given f(x)=x² – 4x – 5. Find lim fx) –{2) x-2 2

A:

Q: I if X > 4 and J (X). 4X + 1 i1 X<4. Find lim f(x) x→4+

A: Given; f(x)=√x-1 if x&gt;4 and f(x)=x2-4x+1 if x&lt;4.

Q: |x² – 4| The value of lim Z-12 I using a table of functional values is_ 2 O 2 Does not Exit O -2 O 3

A:

Q: 2x + 1 Let f(x) Find lim f(x) %3D x - 1

A: Given functionf(x)=2x+1x-1

Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

Q: e – e-* lim I-0 x2 + 3T

A:

Q: find

A:

Q: your a ;) lim x4+メーLo メ→。 i) lim 左十 \im tメーLo X→-∞ iii) \m 4a(a+)しメー2)しメ+ム) メ→ ○

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: 18) Find lim f(x) %3D X 2 - A) – B) 2 00 C) 1 D) 4

A: Topic = Limits 18) B

Q: -xy اس3: أحسب lim (x,y)→(0,0) x²+y2

A:

Q: Q.2 Show that r(ax) _ 1 lim x0 (x)

A: to show  limx→0ΓaxΓx=1a   ...i as we know Γn=Γn+1n using this formula we get Γx=Γx+1xΓax=Γax+1ax

Q: xy + 1 lim (x, y)→(1, −1) x² − y²

A:

Q: 2x+3 Rx) ={ 4 x? +2 a. lim f(x) if x<1 • if x = 1 if1 < x b. lim f(x) 5. c. lim f(x)

A: By sketching graph

Q: {x² +7, 14, x = 4 lim f(x), where f(x) =

A:

Q: x*-16y* lim (x.y)¬(2,1) x2–4y2 A 0 B 00 C Does not exist D None of these

A: Topic - limit

Q: lim f(x), where f(x) X-2 S11 2x if x < 2 if x 2 2

A:

Q: Jx-2 %3D F(x) x²+x-6 Does lim F(x) exist? x-2

A:

Q: x3 – 11x lim x→0 x V5x+11

A: Consider the limit limx→0x3−11xx5x+11

Q: 1. lim f(x) where flx) = (-3x + 8 if x -2

A: Use limit condition.

Q: f(x+h. f'(x) using the definition lim h-0 O 26x + 30 O 5z + 13 O 5x O 10x + 13 O 10z

A: for the function f(x)=5x2+13x+30 find f'(x) using the definition limhf(x+h)-f(x)/h 26x+30 5x+13 5x…

Q: x2 – 1 t(2) = 1 What is lim t(x)?

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Q: x2 + 8x + 12 Evaluate the limit: lim x→ - 6 x + 6

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Q: Find the limit. |1 + x – 1 5) 5) lim x-0 A) 0 B) Does not exist C) 1/4 D) 1/2

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Q: 19) Find lim f(x) %3D 19) X2 + A) 2 B) – 2 C) - 4 D) - 8 20) Find lim f(x) 20) X 2

A:

Q: f(x + Ax) – f(x) Find lim Ax 0 Дх f(x) = 7x2 - 9x

A: topic - limits

Q: 2x + 12 (c) Let f (x) = |x + 6| Determine: (i) lim f (x) x-6+ (ii) lim f (x) x-6- (iii) Use (i) and…

A:

Q: Find the shown limits:

A: Explanation: Given that,  f(x)=2x+3x+4

Q: 4f(x) + 2x – 14 Suppose that lim z+1 5. Find lim f(x). I→1

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.