Consider the function `f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):}`
What is `lim_(xto3)f(x)` equal to ?

Read the following information carefully and answer the question given below: Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} What is underset(xrarr3)(lim)f(x) equal to:

Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} What is the differential coefficient of f(x) at = 12 ?

Read the following information carefully and answer the question given below: Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} What is the differential coefficient of f(x) at x = 12?

Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} Consider the following statements : 1. The function is discontinuous at x=3. 2. The function is not differentiable at x=0. What of the above statements is/are correct?

Read the following information carefully and answer the question given below: Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} Consider the following statements: I. The function is discontinuous at x = 3 II. The function is not differentiable at x = 0 Which of the above statement(s) is/are correct?

Prove that the function If f(x)={:{(6x-5", " x le 3),(2x^2-6x+13", " xgt3):} is differentiable at x=3.

Prove that the function If f(x)={:{(6x-5", " x le 3),(2x^2-6x+13", " xgt3):} is differentiable at x=3.

if f(x) = {{:(x+2",",xle1),(cx^(2)",",xgt-1):}, then find c when lim(xto-1)f(x) exists.

if f(x) = {{:(x+2",",xle-1),(cx^(2)",",xgt-1):}, then find c when lim(xto-1)f(x) exists.