Limits Class 11 OP Malhotra Exe-18E ISC Maths Ch-18 Solutions. In this article you would learn about Method- 4 : Using Expansions. Step by step solutions of latest textbook has been given as latest syllabus. Visit official Website CISCE for detail information about ISC Board Class-11 Mathematics.
Limits Class 11 OP Malhotra Exe-18E ISC Maths Solutions Ch-18
| Board | ISC |
| Publications | S Chand |
| Subject | Maths |
| Class | 11th |
| Chapter-18 | Limits |
| Writer | O.P. Malhotra |
| Exe-18(E) | Method- 4 : Using Expansions. |
Method- 4 : Using Expansions.
Limits Class 11 OP Malhotra Exe-18E ISC Maths Ch-18 Solutions.
In calculus, limits are a fundamental concept defining the behavior of a function as its input approaches a certain value. Sometimes, directly substituting the value into a limit expression results in an indeterminate form (like / (0/0) or making it difficult to evaluate the limit directly. In these cases, limits expansion or series expansion becomes a useful technique
What is limit expansion?
Limit expansion is a method for evaluating limits by expressing a function as an infinite series representation. This technique involves replacing complex functions within the limit expression with their corresponding Taylor or Maclaurin series expansions
Que-1:
Sol:
Que-2:
Sol:
Que-3:
Sol:
Que-4:
Sol:
Que-5:
Sol:
= (4×125)/(3×25)
= 20/3.
Que-6:
Sol:
= (10×2^9)/(5×2^4)
= (2^10)/(2^4)
= 2^6 = 64.
Que-7:
Sol:
Que-8:
Sol:
Que-9:
Sol:
Que-10: Find the value of a
Sol:
Que-11: Find all possible values of a,
Sol:
a = ±3, ±3i
Thus, required real values of a are ±3.
Que-12: Find all possible values of a,
Sol:
a = ±1.
Que-13:
Sol:
–: End of Limits Class 11 OP Malhotra Exe-18E ISC Maths Ch-18 Solutions. :–
Return to :- OP Malhotra ISC Class-11 S Chand Publication Maths Solutions
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