Problem Composer
Limit Analysis
Ifoda va limit nuqtasini kiriting. Lokal asymptotic behavior shu lane ichida ko'rinadi.
Preset
Classic Limit Probe
Experience
advanced
Limit, sequence, series va power-series oilalari shu shell ichida yig'iladi.
Rendered Preview
Lane
Limit Analysis
Detected
Limit Analysis
Family
removable singularity
Candidate
0.999996
Convergence
two-sided approach
Risk
sampling only; symbolic solve recommended
Primary Visual
Approach atlas
single-variable limit
Wheel: zoomDrag: pan
Legend
Approach path
16 pts
One-sided track
16 pts
|f(x)| envelope
16 pts
Endpoint Proofs
Endpoint audit pending
One-Sided Split
Left Branch
1.0000
Right Branch
0.8415
local cancellation / expansion lane
Dominance Lens
Envelope / blow-up profile
sampled local spread proxy
Infinity Comparison
Not currently in an infinity-limit branch.
Observed approach window has 16 samples.
Oscillation Band
Oscillation envelope appears only for oscillatory limit branches.
Remainder Energy
Secondary Lens
State transition map
local cancellation / expansion lane
Visual Audit
0.999996
two-sided approach
target 0
Structural Notes
trigonometric cancellation
local cancellation / expansion lane
sampling only; symbolic solve recommended
Numerical Fallback
Analytic form unavailable
Analytic status: symbolic answer topilmadi yoki yopiq shaklga kelmadi.
Numerical lane: local sampling, asymptotic audit va convergence signals tayyor.
Quyidagi tugma numerical derivation bosqichlarini ko'rsatadi.
Final Result Synthesis
Family
removable singularity
Limit
Asymptotic
target 0
Proof Lane
local cancellation / expansion lane
Error Bound
sampled local spread proxy
Research Family
removable singularity
Expansion
pending
Risk
sampling only; symbolic solve recommended
Final Formula
Method Trace
Analytic derivation topilsa shu yerda chiqadi; bo‘lmasa numerical fallback tugmasi bosqichlarni ochadi.
Phase: analysis-readyMode: limits
Series / limit lane tayyor