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Q: acosx+bx sinx-5 (ii) Find the values of a and b so that lim exists and finite

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: A What is the geometric interpretotron d the derivative f'(a )? O Compute im 2-x 人フ1

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Q: [()-](の) 4 3 |

A: We simplify the expression to understand why is the result negative.

Q: 2. lim sinx -Sins

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Q: (6,5). (1.4) (-4,2), (6,2) -2 6. 8 -2 9(1-2) lim f(z) = I4-4- -4 00 4.

A: Given the above figure. To find limx→-4-f(x)

Q: sin' y 10. lim y→x 1+cosy

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Q: 61. ASTRONOMY The moon Europa rotates in a nearly circular orbit around Jupiter. The orbital radius…

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Q: sec I 2. lim z- tanr' Solution: (a) Is this an indeterminate form? (b) If yes, which type? (c) Can…

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Q: lim X-3 Sinx X-0

A: Limit of a function

Q: lim a. b. lim t-2 V2 + t – 2 t – 2 sin 7r с. lim 50 sin 3r 8 d. lim 16 16. V9r² + 4 lim 2.r + 1 е.

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Q: find limx->2 X-2 tanQ. Sin O 9) tan a-sin o-tanQ. Sin

A: To find the solution of given equations

Q: 8) lim (x,y) →(0,0) tan(√x²+y²) √x² + y²

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Q: cos x lim

A: the given limit is                   limx→∞cos(x)x as the limit applied directly cannot give the…

Q: H.w iF FX)= *+b x<I and Lim F(X) 8,F(-1)=2 Find asb and when X#0

A: Solution:

Q: 2y-n -Tt 7. lim cos y 2

A: Given:         limy→12π2y-πcos y    Let   π2-x=y, ⇒π-2x=2y      As y→π2,x→0

Q: 6y f) limy0 sin 2y

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Q: tanx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: sin(cos x) limx-n/2

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Q: lim ( Vy? – y) y² + y +1 – y00

A: limy→∞y2+y+1-y2-y

Q: c) Find sin a i.) lim,0 (2+ V2+h-V2 ii.) lim,→0

A: Find the limit of functions

Q: dz dz and ду Suppose z is a function of r and y, and tan Vy? + x2 = z"e6y. Solve for

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Q: If f(x) = x² ++2 then lim 3f(x)-3f(2)-2 a) 8. b) 10 d) 12 Boş bırak

A: Given: The given function is f(x)=x2+2

Q: - 5. Evalaute lim VI - 3

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Q: sint Lim t-0

A: We can evaluate limit of an expression by applying the limit point as a value for the variable in…

Q: (hi2-12th) h tth) hchtf2 H2th ) lim |

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Q: x² x-o ex-x-1 Evaluate lim А A) 0 B) 1 C) 2 D ∞ by applying L'Hôpital's rule.

A: find limit using L hospital rule option C correct answer

Q: aim(-4) 3) lim - -16 16-1) + lim++ sin(v

A: According to L Hospital's rule, if f(x) and g(x) are two differentiable function and limx→cf(x)g(x)…

Q: lim (2,y)+(0,0) In(2 + x² + y?) x2 + y?

A: We have to solve given limit:

Q: Let sin(2x + 8y7) x4 + y6 if (x, y) # (0,0) f(x, y) = < if (x, y) = (0,0) Which of the following…

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Q: 2 - Find L z-2Z+4 -im. Z-1-31

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Q: 2x° – 3x"–21 Il -21 lim 13x-4x°+2x

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.