Indeterminate Forms Of Limits Class 12 OP Malhotra Exe 9A ISC Maths Solutions

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Indefinite Forms Of Limits Class 12 OP Malhotra Exe-9A ISC Maths Solutions Ch-9 Solutions. In this article you would learn about indefinite forms and L’Hospital’s Rule. Step by step solutions of latest textbook has been given as latest syllabus. Visit official Website CISCE for detail information about ISC Board Class-12 Mathematics.

Indeterminate Forms Of Limits Class 12 OP Malhotra Exe 9A ISC Maths Solutions

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Indefinite Forms Of Limits Class 12 OP Malhotra Exe-9A ISC Maths Solutions Ch-9

Board ISC
Publications  S Chand
Subject Maths
Class 12th
Chapter-9 Indefinite Forms Of Limits
Writer OP Malhotra
Exe-9(A) Indefinite forms and L’Hospital’s Rule

Exercise- 9A

 Indefinite Forms Of Limits Class 12 OP Malhotra Exe-9A Solution.

Que-1: lim(x→2)(x³-8/x²-4)

Sol:
Que-1: lim(x→2)(x³-8/x²-4)

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Que-2: lim(x→3)((x³-x²-18)/(x-3))

Sol:
Que-2: lim(x→3)((x³-x²-18)/(x-3))

Que-3: lim(x→0)(tan-1x/x)

Sol:
Que-3: lim(x→0)(tan-1x/x)

Que-4: lim(x→0)(esinx-1/x)

Sol:
Que-4: lim(x→0)(esinx-1/x)

Que-5: lim(x→1)(x-1/2x²-7x+5)

Sol:
Que-5: lim(x→1)(x-1/2x²-7x+5)

Que-6: lim(x→0)((1+x)5-1/(1+x)³-1)

Sol:

Que-7: lim(x→π/2)(2x-π/cos x)

Sol:
Que-7: lim(x→π/2)(2x-π/cos x)

Que-8: lim(x→α)(sin x – sin α/x – α)

Sol:
Que-8: lim(x→α)(sin x - sin α/x - α)

Que-9: lim(x→0)(ax-bx/ex-1)

Sol:
Que-9: lim(x→0)(ax-bx/ex-1)

Que-10: lim(α→π/4)(sin α – cos α/α – π/4)

Sol:
Que-10: lim(α→π/4)(sin α - cos α/α - π/4)

Que-11: lim(x→a)((x+2)5/3 – (a+2)5/3/x – a)

Sol:
Que-11: lim(x→a)((x+2)5/3 - (a+2)5/3/x - a)

Que-12: lim(x→0)(√(1+sin x) – √(1-sin x)/x)

Sol:
Que-12: lim(x→0)(√(1+sin x) - √(1-sin x)/x)

Que-13: If f(1)=1 , f’(1)=2 , then find lim(x→1)(√f(x) – 1/√x -1)

Sol:
Que-13: If f(1)=1 , f’(1)=2 , then find lim(x→1)(√f(x) - 1/√x -1)

Que-14: lim(x→0)(2x – 1/√(1+x) – 1)

Sol:
Que-14: lim(x→0)(2x - 1/√(1+x) - 1)

Que-15: lim(x→0)((1+x)1/2 – (1-x)1/2/x)

Sol:
Que-15: lim(x→0)((1+x)1/2 - (1-x)1/2/x)

Que-16: lim(x→0)((1+x)n – 1/x)

Sol:
Que-16: lim(x→0)((1+x)n - 1/x)

Que-17: lim(x→0)(1 – x-1/2/1 – x-2/3)

Sol:
Que-17: lim(x→0)(1 - x-1/2/1 - x-2/3)

Que-18: lim(x→0)(1 – cos x/x)

Sol:
Que-18: lim(x→0)(1 - cos x/x)

Que-19: lim(x→0)(1 – cos mx/1 – cos nx)

Sol:
Que-19: lim(x→0)(1 - cos mx/1 - cos nx)

Que-20: lim(x→0)(tan 2x – x/3x – sin x)

Sol:
Que-20: lim(x→0)(tan 2x - x/3x - sin x)

Que-21: lim(x→0)(e – cos x/x²)

Sol:
Que-21: lim(x→0)(ex² - cos x/x²)

Que-22: lim(x→0)(x cos x – log(1+x)/x²)

Sol:
Que-21: lim(x→0)(x cos x - log(1+x)/x²)

Que-23: lim(x→0)(cos ax – cos bx/x²)

Sol:
Que-23: lim(x→0)(cos ax - cos bx/x²)

Que-24: lim(x→0)(x cos x – sin x/x² sin x)

Sol:
Que-24: lim(x→0)(x cos x - sin x/x² sin x)

Que-25: lim(x→0)(1/x – log(1+x)/x²)

Sol:
Que-25: lim(x→0)(1/x - log(1+x)/x²)

Que-26: lim(x→0)(y – tan-1y/y – sin y)

Sol:
Que-26: lim(x→0)(y - tan-1y/y - sin y)

Que-27: lim(x→0+)(logsin 2x(sin x))

Sol:
Que-27: lim(x→0+)(logsin 2x(sin x))
Que-27: lim(x→0+)(logsin 2x(sin x))

Que-28: lim(x→0)(1/x² – cot x/x)

Sol:
Que-28: lim(x→0)(1/x² - cot x/x)

–: End Indefinite Forms Of Limits Class 12 OP Malhotra Exe-9A ISC Math Ch-9 Solution :–

Return to :- OP Malhotra ISC Class-12 S Chand Publication Maths Solutions
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