7.5.3 Indeterminate forms 0
Chapter 1: Chapter 7 · MATHEMATICS-VOLUME 2 · EN medium
From your actual textbook ✓
What does your textbook say about 7.5.3 Indeterminate forms 0?
∞ ∞ ×∞∞−∞ Example . Evaluate : lim . If we put directly x = we observe that the given function is in an indeterminate form . As the numerator and the denominator functions are polynomials of degree they both are differentiable. Hence, by an application of the L’Hôpital’s Rule, we get lim = lim = . Note that this limit may also be evaluated through the factorization of the numerator and denominator as x )( )( ) . Example . Compute the limit lim . If we put directly x we observe that the given function is in an indeterminate form . As the numerator and the denominator functions are polynomials they both are differentiable.
📖 Class 12 Mathematics English Volume 2 2025 Edition www.tntextbooks.in · Page 30
Read from the source
Complete lesson
∞ ∞ ×∞∞−∞ Example . Evaluate : lim . If we put directly x = we observe that the given function is in an indeterminate form . As the numerator and the denominator functions are polynomials of degree they both are differentiable.
Hence, by an application of the L’Hôpital’s Rule, we get lim = lim = . Note that this limit may also be evaluated through the factorization of the numerator and denominator as x )( )( ) . Example . Compute the limit lim .
If we put directly x we observe that the given function is in an indeterminate form . As the numerator and the denominator functions are polynomials they both are differentiable.
Related topics
Want this shaped for your exam marks?
Get an AI answer grounded in your actual textbook — with the exact page reference.
Ask AI about this topic →