NCERT Class 11-Math՚S: Chapter – 13 Limits and Derivatives Part 10 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 45:

Answer:

Let

Subtracting eq. (i) from eq. (ii) ,

Dividing both sides by ∆ x and taking the limit,

By differentiation,

Expanding by binomial theorem, and rejecting the higher powers of

Hence, the answer is

Question 46:

Answer:

Let

Subtracting eq. (i) from eq. (ii) ,

Dividing both sides by ∆ x and take the limits,

Taking the limits,

Hence the answer is

Evaluate Each of the Following Limits in Exercises 47 to 53

Question 47:

Answer:

Question 48:

Answer:

Question 49:

Answer:

Question 50:

Answer: