Class 12

Continuity and Differentiation question bank (Maths)

Practice 2,867 free Class 12 Maths - Continuity and Differentiation questions with answers and step-by-step solutions.

Start free Book a demo

All Easy Hard Medium

Q1.

If $f(x) = \begin{cases} x, & x \gt 1 \\ x^2, & x \lt 1 \end{cases}$,then $\lim_{x \to 1} f(x) =$

(A)

$x^2$

(B)

$x$

(C)

$-1$

(D)

$1$

Show answer & solution

Verified Answer & Solution Locked

Q2.

Let the function $f$ be defined by the equation $f(x) = \begin{cases} 3x & \text{if } 0 \le x \le 1 \\ 5 - 3x & \text{if } 1 \lt x \le 2 \end{cases}$,then:

(A)

$\lim_{x \to 1} f(x) = f(1)$

(B)

$\lim_{x \to 1} f(x) = 3$

(C)

$\lim_{x \to 1} f(x) = 2$

(D)

$\lim_{x \to 1} f(x)$ does not exist

Show answer & solution

Verified Answer & Solution Locked

Protected Questions

Unlock All 2867 Questions in Continuity and Differentiation

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign up free to access all 2,867 questions

Unlock every Continuity and Differentiation question, generate papers, and practice at your own pace.

Start free