Advertisements
Advertisements
Question
If f(x) = `{(x^2 - 4x if x >= 2),(x+2 if x < 2):}`, then f(0) is
Options
2
5
-1
0
MCQ
Advertisements
Solution
2
shaalaa.com
Limits and Derivatives
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Evaluate the following:
\[\lim_{x->∞} \frac{2x + 5}{x^2 + 3x + 9}\]
Evaluate the following:
`lim_(x->0) (sqrt(1+x) - sqrt(1-x))/x`
Show that f(x) = |x| is continuous at x = 0.
If f(x)= `{((x - |x|)/x if x ≠ 0),(2 if x = 0):}` then show that `lim_(x->1)`f(x) does not exist.
Evaluate: `lim_(x->1) ((2x - 3)(sqrtx - 1))/(2x^2 + x - 3)`
Verify the continuity and differentiability of f(x) = `{(1 - x if x < 1),((1 - x)(2 - x) if 1 <= x <= 2),(3 - x if x > 2):}` at x = 1 and x = 2.
\[\lim_{x->0} \frac{e^x - 1}{x}\]=
`"d"/"dx" (1/x)` is equal to:
`"d"/"dx"` (5ex – 2 log x) is equal to:
If y = x and z = `1/x` then `"dy"/"dx"` =
