lim 6x2.cot x.csc 2x

Q: lim cos? x sin? x = 8.

A:

Q: sin 9h lim h→0 h

A:

Q: Find the limits

A: We first try to find the limit by substitution.

Q: Sin (πω) lim W→-4 w? sir ω 6!

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Q: V1 + t - V1 – t | 25. lim

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Q: lim I→-3+ x +3 O a O b 1 - 00 O d

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Q: sin?x-1 10. lim sinx-1 2

A: Let f,g be functions which are continuous and differentiable. If while computing the limit…

Q: sin(x² + y) x2 + y? 9. lim (r.y) (0,0)

A:

Q: m cot(6x) / csc(6x) = ? x-> 0

A: limx→0cot(6x)csc(6x)∵cot x = cos(x)sin(x)   , csc(x) = 1sin (x)

Q: sin(x?) 48. lim

A: Solution Question 48 Given, limx→0sinx2x We have to find the limit.

Q: cos 5x Find lim ( x³ + 10,000 x→0

A: We have to find the given limit: limx→0x3+cos 5x10, 000 This limit has determinate form so we just…

Q: h) lim x* +x?- 2 I+x+x+x

A: Here we have to find the limit of given function. We can divide it in two function , one in…

Q: 3x2 + sin(x) lim x(x+ 5)

A: Given rational function is fx=3x2+sinxxx+5

Q: 3. lim x cot 2x

A: Given,         limx→0xcot2x

Q: sec x lim x/2 sec (5x)

A: limx→π/2 sec2xsec25x=limx→π/2cos25xcos2xlimx→π/2 cos25x=cos25π2=0limx→π/2 cos2x=cos2π2=0 Now by…

Q: cos x2 - 1 2. Find lim→0 2x 81,341 123

A: Answer and explanation is given below

Q: Sin Q5: Find lim,¬6 x-3

A: Given:         limx→6sinπxx−3

Q: 10. lim, -6(x-sin'x)(cs scx)' X)( csC X

A: A detailed solution is given below.

Q: cos h -1 lim h

A:

Q: cos x lim

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

Q: Find the limit

A: Here the given limit

Q: lim (x2 – x')e?* X -

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Q: tan (xy) = ? lim (х, у) ->(1,0) у + 2хy

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Q: sin 2.r =? lim Vr3 + r² - x -1 2 112 112

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Q: tan( xy) lim = ? 2. (х.у) -> (0,1) х*у+х (c) (с) 3 (d) - (е) 1 (а) 0 (b)

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: lim x cot 2x /

A: We use L Hospital's Rule to find given limit

Q: sin 9x Evaluate lim X0 5x A. -9/5 C. 9/5 B. 0 D. 5

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Q: (=)- lim- sin +sin +..+sin В) -2 C) 0 E) - A) 2 D) 2

A: Consider the provided expression, limn→∞πnsinπn+sin2πn+...+sinnπn The above expression is simplified…

Q: (d) lim x/x

A: Given: Let y=limx→∞ x1x To Find: To evaluate the given limit.

Q: Solue : Srih'x t1- sech x %3D

A: In order to solve this we need to write the hyperbolic inverse functions in respective logarithmic…

Q: sin? (x²–4) 2 lim x→-2 (x–2) tan (x+2)

A: I=limx→-2sin2(x2-4)(x-2)tan(x+2)I=limx→-2(x+2)sin2(x2-4)(x+2)(x-2)tan(x+2)I=limx→-2(x+2)sin2(x2-4)(x…

Q: sin h lim h→0 5h

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Q: sin? (V6x) – x sin(6x) lim x→0 x4

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Q: Equation: Y = x – 3 lim (x – 3) Evaluate: X→5

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Q: sin V20 V20 23. lim

A: We have to find

Q: 10. lim (x? sin () cscx) A. 0 В. 1/2 С. 2 D. DNE

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Q: tan(xy) lim (х, у) -(1,0) у + 2ху 1 (с) 3 (d) 4 (а) 0 (b) (е) 1

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Q: e* – 1 lim x-0 tan 2x

A: Given: limx→0ex-1tan2x

Q: lim x-0 sin? 7x 2

A:

Q: 1 cot³ x dx =

A: To solve the given integral.

Q: 3x2 + sin(x lim x(x + 5) x→0

A: For simplification divide the numerator and the denominator by x, and then apply the limit as x…

Q: lim Vi + cos (T csc x) -/6

A: Here given Use trigonometric formula as

Q: Evaluate

A: It is given that,limx→-∞x2e-xWe have to evaluate it.

Q: 3. lim 0 sec 03D

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Q: lim g (y) where, g(y) = Sy? +5 if y -2

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Q: (ii) lim cot(4x) tan(3r) .() ledo d (iii) lim 3. 1+

A: The solution and answer of the first problem is correct. The second problem is, limx→π cot(4x)tan3x…

Q: オメ Lim Sin メー→+D 2-3x !

A: Given that, the function is sinπx2-3x. Apply the limit as n tends to infinity as limx→∞sinπx2-3x.

Q: tan(хy) = ? x²y (х, у) -> (0.1) х*у+х ¯y+x lim

A:

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.