Continuity of a Piecewise Function
Difficulty: Medium · Topics: Calculus, Limits, Continuity
Bo‘lakli funksiyaning uzluksizligi
The function f(x) is continuous in the set of all real numbers.
f(x)=begincases -3x+a, & x≤ 1 \\[6pt] dfracx+b√x+3-2, & x 1 endcases
Find a+b. (a, b are constants.)
f(x) funksiya barcha haqiqiy sonlar to‘plamida uzluksiz.
f(x)=begincases -3x+a, & x≤ 1 \\[6pt] dfracx+b√x+3-2, & x 1 endcases
a+b ni toping. (a, b — o‘zgarmaslar.)