Show that the functionf(x)={sinxxwhenx≠02whenx=0is continuous at each point except 0. View Solution Show that the functionf(x)=2x−|x|is continuous atx=0. View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8...
Demonstrate why the function is differentiable at the given point: f(x, y) = 9 + x ln(xy - 9) at (5, 2). Show that z=x^2 +xy^2 is differentiable at the point (1,1) How to show that a function is continuous and ...
Find a value for k so that the function is continuous. f(x) = \frac{x^2 + 2x - 15}{x - 3}, x not equal to 3, and 2kx - 4, x = 3. Show that the given function is not continuous at the given point. f(x) = {- 1 x less...
Show that the function, f(x) = \left\{\begin{matrix} (x^2 + 1), & if & x \leq -1 \\ -2x, & if & x > -1 \end{matrix}\right. is continuous and differentiable at the value x = -1. How to show that a function is continuou...
Hence, every differentiable function is continuous. Note:Here we have to note that continuous function is the function whose value does not change or value remains constant. When the function is continuous at a point then the left hand limit of the function and the right hand limit...
Continuous Function:The continuous function is the function that is defined for all real values (present in a certain domain). The domain of a function helps while defining the continuity of a function; if there is a break at a point in the function, it is te...
In my case, I hadn’t forgotten a key point; otherwise I wouldn’t have realized, minutes after, that I left it out. I just didn’t access that information when I needed it. Ebbinghaus would have given Carey a like if he were still alive today: he determined that even when we ...
ipv6 Designate IPv6 is used in the network. realtime Displays the counters that capture traffic statistics as they occur. snapshot Displays the counters that capture traffic statistics as of a single point in time. all Display all counters. non-zero Display all counters that have at...
This setting may have a Configuration Service Provider (CSP) equivalent that can be used instead. To determine if a CSP for this setting exists, see the description below. Use to show the Wi-Fi calling error message in the mobile device UI. Values 展開表格 ValueDescription 0 or 'No...
Show that the function f(x)={x3sin1x3ifx≠00ifx=0 is differentiable atx=0. Sandwich Theorem: Sandwich theorem shows that for any three functionsf(x),g(x)andh(x)defined on inI⊆Rsuch thatg(x)≤f(x)≤h(x)for allxi...